Will bought 4 times as many caramel bars as candy bars. The total mass of caramel bars and candy bars was 912 g. The mass of candy bars was 16 g less than that of the caramel bars. The mass of 1 candy bar was 83 g heavier than 1 caramel bar.

1. Find the number of candy bars that Will bought.
2. Find the mass of 1 caramel bar.

	Caramel Bars	Candy Bars	Total
Number of sets	4 sets	1 set
Compare each	1 u	1 u + 83
Total value	464 g	448 g	912 g

(a)
Mass of candy bars = 1 set
Mass of caramel bars = 4 sets

Mass of candy bars = (912 - 16) ÷ 2 = 448 g
Mass of caramel bars = 448 + 16 = 464 g

Mass of 1 set of candy bars = 448 g
Mass of 1 set of caramel bars = 464 ÷ 4 = 116 g

Difference in the mass between 1 set of candy bars and 1 set of caramel bars
= 448 - 116
= 332 g

Number of items in each set
= 332 ÷ 83
= 4

Number of candy bars
= 1 x 4
= 4

(b)
Mass of 1 candy bar
= 448 ÷ 4
= 112 g

Mass of 1 caramel bar
= 112 - 83
= 29 g

Answer(s): (a) 4; (b) 29 g