Question

Every year, the Johnson family hosts a Thanksgiving feast. This year, they decided to roast three turkeys of different sizes. The ratio of the weight of the largest turkey to the weight of the medium-sized turkey is 5:3. the ratio of the weight of the medium-sized turkey to the weight of the smallest turkey is 4:1. If the smallest turkey weighs 12 pounds, what is the total weight of all three turkeys?

Answer 1

Answer: 140 pounds

Step-by-step explanation

The smallest turkey is 12 pounds.

Quadruple this to get 12*4 = 48 pounds, which is the medium turkey's weight. Why quadruple? Because of the ratio 4:1 when comparing medium to small.

The ratio of large to medium is 5:3, in which we could have this scratch work

large/medium = 5/3

L/48 = 5/3

3L = 48*5

L = 48*5/3

L = 80

The large turkey weighs 80 pounds.

The total weight is: 80+48+12 = 140 pounds