Answered

a healthy diet follows the ratio for meat to vegetables of 2.5 servings to 4 servings. If you eat 7 servings of meat a week, how many servings of vegetables should you eat?

Verified Answer :

dexteright02

Data:

Ratio
\(\frac{meat}{vegetables} = \frac{2.5}{4} = \frac{7}{y}\)

Solving: Rule of three (directly proportional)
\(\frac{2.5}{4} = \frac{7}{y}\)
multiply cross
\(2.5*y = 4*7\)
\(2.5y = 28\)
\(y = \frac{28}{2.5}\)
\(\boxed{\boxed{y = 11.2}}\end{array}}\qquad\quad\checkmark\)

Answer:
One should eat 11.2 servings of vegetables

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