Question

The Twix factory is producing Left and Right Twix, wrapping them separately, and then packaging them into a variety of bags. Each bag contains 25 pieces of candy. The number of Right Twix is three more than the number of Left Twix.

Write a system of equations that represents the situation.

Then solve the system of equations, SHOWING ALL YOUR WORK.

Answer 1

Candies

l = 25b r = b(25 + 3)

Example: b = 10 bags

l = 25 x 10 r = 10(25 + 3)

l = 250 candies r = 10 x 28 = 280 candies

Bags

r = l + 3

Examples: r = 15 bags l = 15 bags

15 = l + 3 r = 15 + 3

15 - 3 = l + 3 - 3 r = 18 bags

12 bags = l