Studdy AI Logo
Math

QuestionOrly uses 2 cups of raisins for 12 cups of trail mix. How much trail mix for 8 cups of raisins? Options: 3 cups, 1131 \frac{1}{3} cups, 12 cups, 48 cups.

Studdy Solution

STEP 1

Assumptions1. Orly uses cups of raisins for every12 cups of trail mix she makes. . The ratio of raisins to trail mix is constant.
3. Orly uses8 cups of raisins.

STEP 2

First, we need to set up a proportion to solve this problem. A proportion is an equation that states that two ratios are equal.
RaisinsTrail mix=RaisinsTrail mix\frac{Raisins}{Trail\, mix} = \frac{Raisins}{Trail\, mix}

STEP 3

Now, plug in the given values for the ratio of raisins to trail mix and the amount of raisins Orly uses.
212=8x\frac{2}{12} = \frac{8}{x}

STEP 4

To solve for x, we can cross multiply.
2x=8×122x =8 \times12

STEP 5

olve the equation for x.
2x=962x =96

STEP 6

Divide both sides of the equation by2 to solve for x.
x=962x = \frac{96}{2}

STEP 7

Calculate the value of x.
x=962=48x = \frac{96}{2} =48Orly will make48 cups of trail mix if she uses cups of raisins.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord