Solve Ratio Problems Using Double Number Lines Problems

<p>Each day, Joanne puts `4` quarters and `1` nickel into her piggy bank. </p><ul><li>Complete the double number line to represent the number of each type of coin `2, 3, 4,` and `5` days.</li><li>How many nickels does Joanne have if she has collected `20` quarters?</li><li>How many quarters does Joanne have if she has collected `4` nickels?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Quarters" }, "title_bottom": { "text": "Nickels" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 20, "label_top": { "type": "text", "text": "4" }, "label_bottom": { "type": "text", "text": "1" } }, { "position": 40, "label_top": { "type": "text", "text": "8" }, "label_bottom": { "type": "text", "text": "2" } }, { "position": 60, "label_top": { "type": "text", "text": "?" }, "label_bottom": { "type": "text", "text": "3" } }, { "position": 80, "label_top": { "type": "text", "text": "?" }, "label_bottom": { "type": "text", "text": "4" } }, { "position": 100, "label_top": { "type": "text","text": "20" }, "label_bottom": { "type": "text", "text": "?" } } ]}'></DoubleNumberline ></selectivedisplay>

<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>

<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>

<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>

<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>

<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>

<p>Jaxon has a horse. Every day his horse eats `16` pounds of hay and `1 1/2` pounds of oats. </p><ul><li>Create a double number line that represents the amount of hay and oats that Jaxon will need to feed his horse for `2, 3, 4,` and `5` days. </li><li>How many pounds of oats will Jaxon have fed his horse when the horse has eaten `48` pounds of hay?</li><li>How many pounds of hay will Jaxon have fed his horse when the horse has eaten `7.5` pounds of oats?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Hay (pounds)" }, "title_bottom": { "text": "Oats (pounds)" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 20, "label_top": { "type": "text", "text": "16" }, "label_bottom": { "type": "text", "text": "1 1/2" } }, { "position": 40, "label_top": { "type": "text", "text": "? " }, "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": " ?" } }, { "position": 100, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } } ]}'></DoubleNumberline ></selectivedisplay>

<p>Barbara went to the craft store to purchase some yarn for a sweater she is knitting. She spent `$3.90` to buy a bag containing `2` balls of yarn. </p><ul><li>Create a double number line that represents the price Barbara will pay for buying `2, 3,` or `4` bags of yarn. </li><li>How much money will Barbara pay for `8` balls of yarn?</li> <li>How many balls of yarn can Barbara buy for `$11.70`?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Cost (dollars)" }, "title_bottom": { "text": "Balls of yarn" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 25, "label_top": { "type": "text", "text": "3.90" }, "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>