Dylan bought 5 times as many caramel bars as candy bars. The total mass of caramel bars and candy bars was 3090 g. The mass of candy bars was 1110 g less than that of the caramel bars. The mass of 1 candy bar was 57 g heavier than 1 caramel bar.

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

	Caramel Bars	Candy Bars	Total
Number of sets	5 sets	1 set
Compare each	1 u	1 u + 57
Total value	2100 g	990 g	3090 g

(a)
Mass of candy bars = 1 set
Mass of caramel bars = 5 sets

Mass of candy bars = (3090 - 1110) ÷ 2 = 990 g
Mass of caramel bars = 990 + 1110 = 2100 g

Mass of 1 set of candy bars = 990 g
Mass of 1 set of caramel bars = 2100 ÷ 5 = 420 g

Difference in the mass between 1 set of candy bars and 1 set of caramel bars
= 990 - 420
= 570 g

Number of items in each set
= 570 ÷ 57
= 10

Number of caramel bars
= 5 x 10
= 50

(b)
Mass of 1 candy bar
= 990 ÷ 10
= 99 g

Answer(s): (a) 50; (b) 99 g