Math  /  Numbers & Operations

QuestionProblems 7 A recipe uses 5 cups of flour for every 2 cups of sugar.
How much sugar is used for every cup of flour?
How much flour is used for every cup of sugar? Submit

Studdy Solution

STEP 1

1. The recipe uses a ratio of 5 5 cups of flour to 2 2 cups of sugar.
2. We need to find the amount of sugar used per cup of flour.
3. We need to find the amount of flour used per cup of sugar.

STEP 2

1. Determine the amount of sugar per cup of flour.
2. Determine the amount of flour per cup of sugar.

STEP 3

To find the amount of sugar used for every cup of flour, start by setting up the ratio.
The given ratio is 5 cups of flour2 cups of sugar \frac{5 \text{ cups of flour}}{2 \text{ cups of sugar}} .

STEP 4

To find sugar per cup of flour, invert the ratio to express sugar in terms of flour.
2 cups of sugar5 cups of flour \frac{2 \text{ cups of sugar}}{5 \text{ cups of flour}}

STEP 5

Calculate the amount of sugar per cup of flour by dividing.
25=0.4 cups of sugar per cup of flour \frac{2}{5} = 0.4 \text{ cups of sugar per cup of flour}

STEP 6

To find the amount of flour used for every cup of sugar, start with the original ratio.
The given ratio is 5 cups of flour2 cups of sugar \frac{5 \text{ cups of flour}}{2 \text{ cups of sugar}} .

STEP 7

Calculate the amount of flour per cup of sugar by dividing.
52=2.5 cups of flour per cup of sugar \frac{5}{2} = 2.5 \text{ cups of flour per cup of sugar}
The amount of sugar used for every cup of flour is:
0.4 cups of sugar per cup of flour\boxed{0.4 \text{ cups of sugar per cup of flour}}
The amount of flour used for every cup of sugar is:
2.5 cups of flour per cup of sugar\boxed{2.5 \text{ cups of flour per cup of sugar}}

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