Question

Clare mixes

2 1/2
cups of water with
1/3
cup of orange juice concentrate.
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How much water would she use for one cup of concentrate? (use a decimal)
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How much water would she use for 10 cups of concentrate? (use a decimal)

Answer 1

To find the amount of water for one cup of concentrate, you would use 7.5 cups. For 10 cups of concentrate, you would use 75 cups of water.

Step-by-step explanation:

To find the amount of water Clare would use for one cup of concentrate, we need to set up a proportion. Since Clare uses 2 1/2 cups of water for 1/3 cup of concentrate, we can write:

2 1/2 cups / 1/3 cup = x cups / 1 cup

Cross multiplying, we get:

(2 1/2) * 1 cup = (1/3) * x cups

Simplifying, we get:

5/2 * 1 = 1/3 * x

5/2 = 1/3 * x

Multiplying both sides by 3:

(5/2) * 3 = x

x = 15/2 = 7.5

Therefore, Clare would use 7.5 cups of water for one cup of concentrate.

To find the amount of water she would use for 10 cups of concentrate, we can multiply the amount of water used for one cup (7.5 cups) by 10:

7.5 cups * 10 = 75 cups.

Answer 2

1. 1 cup of concentrate would use 7.5 cups of water.

2. 10 cups of concentrate would use 75 cups of water.

Step-by-step explanation:

Because 1/3 cup of concentrate is mixed with 2 1/2 cups of water, to find how much water one cup of concentrate would use, you would have to multiply both 1/3 and 2 1/2 (2.5) by 3. Then, you get 1 cup of concentrate equals 7 1/2 (7.5).

To find the answer to the next question, simply multiply by 10.