The weight of a box of chocolates is 2.2 pounds. After taking out 75% of the chocolates, the remaining chocolates and the box weigh 0.7 pounds. What is weight of the box and the weight of the chocolates before any chocolates were taken out?

Respuesta :

Answer: The weight of the box is 0.2 pounds and the weight of the chocolates before any chocolates were taken out is 2 pounds

Step-by-step explanation:

Let x represent the weight of the box only.

The weight of the box of chocolates is 2.2 pounds. It means that the weight of the chocolate only is

(2.2 - x) pounds

After taking out 75% of the chocolates, the remaining chocolates and the box weigh 0.7 pounds. It means that

2.2 - 0.75(2.2 - x) = 0.7

2.2 - 1.65 + 0.75x = 0.7

0.75x = 0.7 + 1.65 - 2.2

0.75x = 0.15

x = 0.15/0.75

x = 0.2 pounds

The weight of the chocolates before any chocolates were taken out is

2.2 - x = 2.2 - 0.2 = 2 pounds