Elena makes fruit punch by mixing 4 parts cranberry juice to 3 parts apple juice to 2 parts grape juice. If one batch of fruit punch includes 30 cups of apple juice, how large is this batch of fruit punch?
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This batch has 90 cups of fruit punch

Step-by-step explanation:

Fruit punch=4 parts cranberry, 3 parts apple juice, 2 parts grape juice

Proportions for each=Number of parts/Total Parts

Cranberry proportion=4/(4+3+2)=4/9

Apple juice proportion=3/(4+3+2)=3/9=1/3

Grape juice proportion=2/(4+3+2)=2/9

There for;

Apple juice proportion×Total amount of fruit punch(T)=30 cups of apple juice

Replacing;

(1/3)×T=30

T=90 cups

Total amount of fruit punch=T=90 cups

This batch has 90 cups of fruit punch

it 90 cups ^^

Step-by-step explanation:

y - y1 = m(x- x1)

y - (-5) = 2/3(x -0)

y + 5 = 2/3x

y = 2/3x - 5

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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