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Orly uses 2 cups of raisins for every 8 cups of trail mix she makes. How many cups of trail mix will she make if she uses 12 cups of raisins?

Respuesta :

Easy word problem. 

Set up a proportion using the ratio they provided us.

2:8 = ?:12

2/8 = x/12

Cross multiply to isolate the variable.

[tex] \frac{2}{8} = \frac{x}{12} [/tex]

2*12 = 24          8*x = 8x

24 = 8x

8x/8 = 24/8

24/8 = x

x= 3

We need 3 cups of trail mix if she uses 12 raisins. 

She need 3 cups of trail mix will she make if she uses 12 cups of raisins.

What is Ratio and proportion?

Ratio is the comparison of two quantities which is obtained by dividing the first quantity by the other. If a and b are two quantities of the same kind and with the same units, such that b is not equal to 0, then the quotient a/b is called the ratio between a and b.

Proportion refers to the equality of two ratios. Two equivalent ratios are always in proportion. Proportions are denoted by the symbol (: :) and they help us to solve for unknown quantities.

Given:

2 cups raisin 8 cups trail mix.

So, the proportionality will be

2/8 = x/12

24 = 8x

x= 24/8

x=3

Hence, She need 3 cups of trail mix will she make if she uses 12 cups of raisins.

Learn more about ratio and proportion here:

https://brainly.com/question/26974513

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