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?

Respuesta :

Data:

Ratio
[tex] \frac{meat}{vegetables} = \frac{2.5}{4} = \frac{7}{y} [/tex]

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

Answer:
One should eat 11.2 servings of vegetables