Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Orly has 33 cups of raisins for every 1010 cups of trail mix she makes. How many cups of trail mix will she make if she uses 1212 cups of raisins?

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Solve proportions: word problemsright chevron icon

Full solution

Q. Orly has 33 cups of raisins for every 1010 cups of trail mix she makes. How many cups of trail mix will she make if she uses 1212 cups of raisins?
  1. Set Proportion: Ratio of raisins to trail mix is 33 cups of raisins for every 1010 cups of trail mix. To find how many cups of trail mix Orly can make with 1212 cups of raisins, use the proportion:\newline3 cups of raisins10 cups of trail mix=12 cups of raisinsx cups of trail mix \frac{3 \text{ cups of raisins}}{10 \text{ cups of trail mix}} = \frac{12 \text{ cups of raisins}}{x \text{ cups of trail mix}}
  2. Cross-Multiply and Solve: Solve for x x by cross-multiplying:\newline3x=120 3x = 120 \newlinex=40 x = 40

More problems from Solve proportions: word problems

Question
Recently, frogs have been disappearing from the wild due to a contagious fungus. To monitor the current population in a certain region, Alan collects 2828 frogs, marks them, and releases them. Later, he collects 110110 frogs and finds that 1111 of them are marked. To the nearest whole number, what is the best estimate for the frog population? ____\_\_\_\_
Get tutor helpright-arrow

Posted 8 months ago

Question
Solve for v v in the proportion. v6=2530 \frac{v}{6} = \frac{25}{30} v= v = _____
Get tutor helpright-arrow

Posted 8 months ago

Question
Solve for x. \newline73x=21\frac{7}{3}x= 21 \newlinex=x = ______
Get tutor helpright-arrow

Posted 9 months ago

Question
Fabio and Carlos play on a basketball team together. In the last game, Fabio had 77 points less than 22 times as many points as Carlos. Fabio scored 3131 points in the game. How many points did Carlos score in the last game?
Get tutor helpright-arrow

Posted 7 months ago

Question
Stephanie is twice as old as her sister Rosa. If Stephanie is 18 \mathbf{1 8} years old, how old is Rosa?
Get tutor helpright-arrow

Posted 3 months ago

Question
Yohan is blowing up a spherical balloon. He blows 108π 108 \pi cubic centimeters of air with every breath. It takes him 7272 breaths to fully inflate the balloon. What is the radius of the balloon in centimeters when it is fully inflated?
Get tutor helpright-arrow

Posted 8 months ago

Question
Nadine has 44 gallons of gas in her car. If the fuel efficiency of her car is 2323 miles per gallon, how many miles can Nadine drive before running out of gas?
Get tutor helpright-arrow

Posted 8 months ago

Question
According to a website where users review their doctors, 116116 out of 119119 users would recommend Dr. Gutierrez to their friends and family. If the website users are representative of Dr. Gutierrez's 11,293293 patients, about how many patients would recommend Dr. Gutierrez to their friends and family?\newline(Round your answer to the nearest whole number.)
Get tutor helpright-arrow

Posted 10 months ago

Question
Bao can eat 1212 chicken wings in 33 minutes. She eats the chicken wings at a constant rate.\newlineHow many chicken wings can Bao eat in 1212 minutes?\newlinechicken wings
Get tutor helpright-arrow

Posted 4 months ago

Question
The double number lines show the ratio of cups to gallons.\newlineHow many cups are in 33 gallons?\newlinecups
Get tutor helpright-arrow

Posted 10 months ago

View all (106)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant