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A recipe calls for 2/9 cup of flour for every 1 2/5 cup of milk. To make a bigger batch, the chef uses 2 cups of flour.Which of the following would be the amount of milk needed for the bigger batch?
Answer Choices:
Correct Answer:
12 1/5 cups
Rationale:
We are given a ratio of 2/9 cup flour : 1 2/5 cup milk, and asked how much milk is needed when using 2 cups of flour.
Step 1: Convert the mixed number to an improper fraction
1 2/5 = 7/5
Step 2: Set up a proportion
(2/9) / (7/5) = 2 / x
Step 3: Solve the proportion
(2/9) ÷ (7/5) = 2 / x
=> (2/9) × (5/7) = 2 / x
=> 10/63 = 2 / x
Step 4: Cross multiply to solve for x
10x = 126
x = 126 / 10
x = 12.6 = 12 1/5
So, 12 1/5 cups of milk are needed when using 2 cups of flour.
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This question is from ➗ TEAS 7 Free Sample - Math which contains 6 questions.