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Solve Ratio Problems Using Double Number Lines Quiz

7 questions
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#1 of 7: Mild

Solve ratio problems using double number lines

<p>A florist is making bouquets of flowers for Mother’s Day. Each bouquet of flowers contains `5` red roses and `7` white carnations.</p><ul><li>Create a double number line that represents the number of flowers needed to make `2, 3, 4, 5,` and `6` bouquets of flowers. </li><li>How many red roses will be needed if the florist uses `14` white carnations?</li><li>How many white carnations will be needed if the florist uses `20` red roses?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Red roses" }, "title_bottom": { "text": "White carnations" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 16.66, "label_top": { "type": "text", "text": "5" }, "label_bottom": { "type": "text", "text": "7" } }, { "position": 33.32, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "14" } }, { "position": 49.98, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 66.64, "label_top": { "type": "text", "text": "20 " }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 83.3, "label_top": { "type": "text", "text": " ? " }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 100, "label_top": { "type": "text", "text": " ?" }, "label_bottom": { "type": "text", "text": " ? " } } ]}'></DoubleNumberline ></selectivedisplay>

#2 of 7: Medium

Solve ratio problems using double number lines

<p>A pack of candy bars contains `4` bars and sells for `$2.50`. </p><ul><li>Complete the double number line below to represent the number of bars and the total cost for `2, 3, 4,` and `5` packs.</li> <li>How much money do you need for `8` candy bars?</li><li>How many candy bars can you get with `$12.50`? </li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Price($)" }, "title_bottom": { "text": "Candy bars" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 20, "label_top": { "type": "text", "text": "2.50" }, "label_bottom": { "type": "text", "text": "4" } }, { "position": 40, "label_top": { "type": "text", "text": "5" }, "label_bottom": { "type": "text", "text": " ?" } }, { "position": 60, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "?" } }, { "position": 80, "label_top": { "type": "text", "text": " ?" }, "label_bottom": { "type": "text", "text": "16 " } }, { "position": 100, "label_top": { "type": "text", "text": "12.50 " }, "label_bottom": { "type": "text", "text": " ?" } } ]}'></DoubleNumberline ></selectivedisplay>

#3 of 7: Medium

Solve ratio problems using double number lines

<p>To make `1` batch of spaghetti sauce, Frank uses `1.5` kilograms of meat and `3` onions.</p><ul><li>Complete the double number line below to represent the amount of each ingredient in `2, 3, 4, 5, 6,` and `7` batches. </li> <li>How many onions does Frank need if he has used `10.5` kilograms of meat?</li><li>How many kilograms of meat does Frank need if he has used `9` onions?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Meat (kilograms)" }, "title_bottom": { "text": "Onions" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 14.28, "label_top": { "type": "text", "text": "1.5" }, "label_bottom": { "type": "text", "text": "3" } }, { "position": 28.56, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "6" } }, { "position": 42.84, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "9" } }, { "position": 57.12, "label_top": { "type": "text", "text": "6" }, "label_bottom": { "type": "text", "text": "12" } }, { "position": 71.4, "label_top": { "type": "text", "text": "7.5" }, "label_bottom": { "type": "text", "text": "15" } }, { "position": 85.68, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "18" } }, { "position": 100, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } } ]}'></DoubleNumberline ></selectivedisplay>

#4 of 7: Medium

Solve ratio problems using double number lines

<p>The Environmental Club at a middle school plants trees during their meeting each week. Each week they plant `13` deciduous trees and `16` evergreen trees. </p><ul><li>Complete the double number line below to represent the number of each type of tree that is planted by the club over weeks `2, 3, 4, 5,` and `6`. </li><li>How many deciduous trees will be planted when `64` evergreen trees have been planted?</li><li>How many evergreen trees will be planted when `78` deciduous trees have been planted?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Deciduous tree " }, "title_bottom": { "text": "Evergreen tree" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 16.66, "label_top": { "type": "text", "text": "13" }, "label_bottom": { "type": "text", "text": "16" } }, { "position": 33.32, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "32" } }, { "position": 49.98, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 66.64, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "64" } }, { "position": 83.3, "label_top": { "type": "text", "text": "65" }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 100, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": " ? " } } ]}'></DoubleNumberline ></selectivedisplay>

#5 of 7: Medium

Solve ratio problems using double number lines

<p>Amerie is putting together prize bags for a golfing tournament. Each of the bags will contain `18` golf tees and `15` golf balls. </p><ul><li>Complete the double number line below to represent the number of each type of equipment that is included in `2, 3, 4, 5, 6,` and `7` prize bags.</li> <li>How many golf tees will Amerie use if she has used `90` golf balls?</li><li>How many golf balls will Amerie use if she has used `126` golf tees?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Golf tees" }, "title_bottom": { "text": "Golf balls" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 14.28, "label_top": { "type": "text", "text": "18" }, "label_bottom": { "type": "text", "text": "15" } }, { "position": 28.56, "label_top": { "type": "text", "text": " ?" }, "label_bottom": { "type": "text", "text": "30" } }, { "position": 42.84, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "45" } }, { "position": 57.12, "label_top": { "type": "text", "text": "72" }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 71.4, "label_top": { "type": "text", "text": "90 " }, "label_bottom": { "type": "text", "text": "75" } }, { "position": 85.68, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 100, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } } ]}'></DoubleNumberline ></selectivedisplay>

#6 of 7: Spicy

Solve ratio problems using double number lines

<p>One batch of cookies needs `3/4` cup of brown sugar and `2` eggs. </p><ul><li>Complete the double number line below to represent the amount of each ingredient used for `2, 3,` and `4` batches of cookies. </li><li>How many eggs will you need for `3` cups of brown sugar?</li><li>How many cups of brown sugar will you need for `6` eggs?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Brown sugar (cup)" }, "title_bottom": { "text": "Eggs" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 25, "label_top": { "type": "text", "text": "3/4" }, "label_bottom": { "type": "text", "text": "2" } }, { "position": 50, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": " ?" } }, { "position": 75, "label_top": { "type": "text", "text": " ?" }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 100, "label_top": { "type": "text", "text": "?" }, "label_bottom": { "type": "text", "text": "? " } } ]}'></DoubleNumberline ></selectivedisplay>

#7 of 7: Spicy

Solve ratio problems using double number lines

<p>This double number line shows the workout routine that Kenny has designed for himself to stay in shape. Each day he plans to run `1` mile, and then will walk for `1/5` of a mile to cool down. </p><ul><li>Fill in the missing values for the number of miles that Kenny will complete in `2, 3,` and `4` days. </li><li>How many miles has Kenny run if he walked `4/5` of a mile during cool downs?</li><li>How many miles has Kenny walked to cool down if he has run `3` miles?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": " Kenny runs (miles)" }, "title_bottom": { "text": "Kenny walks (miles)" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 25, "label_top": { "type": "text", "text": "1" }, "label_bottom": { "type": "text", "text": "1/5" } }, { "position": 50, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 75, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 100, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } } ]}'></DoubleNumberline > </selectivedisplay>

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We can define a double number line as a number line with different scales on the top and the bottom. Double number lines can be used effectively to compare and organise ratios. They can be used to solve various ratio problems including many equivalent ratio problems.

 

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Grade 6
Ratios And Rates
6.RP.A.3

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What teachers are saying about BytelearnWhat teachers are saying

stephan.png
Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
jennifer.png
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
rodolpho.png
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”