Question

4. Meg uses 1/2 of her supply of raisins

to make trail
mix and 3/10 of her supply of raisins to make
cookies. If Meg uses 8 pounds of raisins, how many
pounds of raising are in her supply

Answer 1

10 pounds

Explanation:

Let x represent the amount of raisins Meg have in her supply. She uses 1/2 of her supply of raisins to make trail mix and 3/10 of her supply of raisins to make cookies which gives a total of 8 pounds of raisins being used. To find the amount of raisins she has in her supply, we use the equation:

(1/2)x + (3/10)x = 8

multiply through by 20:

(1/2)x * 20 + (3/10)x * 20 = 8 * 20

10x + 6x = 160

16x = 160

Divide both sides of the equation by 16:

16x/16 = 160/16

x = 10 pounds

Therefore she have 10 pounds of raisins in her supply