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Question
a cook uses a ratio of 5 parts flour to 3 parts water when baking bread. today, the cook made a large batch of bread with 10 cups of water. how many more cups of flour than water did the cook use?
write your answer as a whole number, decimal, proper fraction, or mixed number.
cups
Step1: Set up proportion for flour
Let $f$ = cups of flour. Ratio: $\frac{5}{3}=\frac{f}{10}$
Step2: Solve for flour amount
$f = \frac{5\times10}{3} = \frac{50}{3}$
Step3: Calculate difference
Subtract water from flour: $\frac{50}{3}-10 = \frac{50}{3}-\frac{30}{3}$
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$\frac{20}{3}$ or $6\frac{2}{3}$ cups