Question

Lana has a recipe for a pudding. She uses 14 cups of milk to make 4 bowls of pudding. Andrew will follow the same recipe. He will make p bowls of pudding and m cups of milk. Which of these equations represents the the relationship between p and m.A. p=1/7m B. p=7m C.p=5/2m D.p=2/7m

Answer 1

p = 2/7 m

Step-by-step explanation:

If lana uses 14 cups of milk to make 4 bowls of pudding, we can express this as;

14cups = 4 bowls

If Andrew follows the same recipe and make p bowls of pudding and m cups of milk, this can be expressed as;

m cups = p bowls

Divide both expressions

14/m = 4/p

Cross multiply

4m = 14p

2m = 7p

7p = 2m

p = 2/7 m

Hence the expression p in terms of m is p = 2/7 m