I have an algebra word problem from school and cant firure it out, can u help me???

Question

The question is

[A recipe reqires 2.5 cups of juice concentrate for every 4 cups of water. How much Juice is required to fill a 32.5-cup punch bowl?]

I know the answer is 12.5 cups because the book gave me options. but i dont know how to show my work to get to it.

Answer 1

we know that every 4 cups of water needs 2.5cups of juice
so we have 6.5 cups in total with (2.5/6.5 = 5/13 of juice)
so if we have a 32.5 cup punch bowl filled with this (solution) we have the ratio 5/13 * 32.5 = 12.5 cups of juice

Answer 2

Punch is juice and water. 2.5 cups of juice for every 4 cups of water means that out of 2.5+4 = 6.5 cups of punch, 2.5 are juice. The ratio of juice to p unch, 2.5/6.5, stays the same no matter how much punch there is.

Set up this equation:
2.5/6.5=x/32.5, where x is the number of cups of juice.
Solve to get x = 12.5 cups.

Answer 3

Ill make it simple: 2.5+4=6.5 32.5 divided by 6.5 equals 5 5 times 2.5 equals 12.5 Best Answer?

Answer 4

1 serving = 2.5 cups juice + 4 cups water = 6.5 cups total
32.5 cups = x(serving)
32.5 = 6.5x
x = 5

so 5(2.5 cups juice) = 12.5 cups juice

Answer 5

32.5 / (2.5+4) = 5 the factor to scale the recipe

5*2.5 =12.5

Answer 6

2.5 cups of juice requires 4 cups of water
therefore 2.5 cups of juice produces (2.5+4) cups of punch
1 cup of punch will require (2.5/6.5) cups of juice
32.5 cups of punch will require (2.5/6.5 *32.5) cups of juice
2.5/6.5 * 32.5 = 12.5

I hope you find it helpful