Japheth bought 5 times as many caramel bars as candy bars. The total mass of caramel bars and candy bars was 1992 g. The mass of candy bars was 568 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 Japheth 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	1280 g	712 g	1992 g

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

Mass of candy bars = (1992 - 568) ÷ 2 = 712 g
Mass of caramel bars = 712 + 568 = 1280 g

Mass of 1 set of candy bars = 712 g
Mass of 1 set of caramel bars = 1280 ÷ 5 = 256 g

Difference in the mass between 1 set of candy bars and 1 set of caramel bars
= 712 - 256
= 456 g

Number of items in each set
= 456 ÷ 57
= 8

Number of caramel bars
= 5 x 8
= 40

(b)
Mass of 1 candy bar
= 712 ÷ 8
= 89 g

Answer(s): (a) 40; (b) 89 g