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?

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

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints