Zeph bought 5 times as many caramel bars as candy bars. The total mass of caramel bars and candy bars was 3350 g. The mass of candy bars was 1450 g less than that of the caramel bars. The mass of 1 candy bar was 47 g heavier than 1 caramel bar.

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

	Caramel Bars	Candy Bars	Total
Number of sets	5 sets	1 set
Compare each	1 u	1 u + 47
Total value	2400 g	950 g	3350 g

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

Mass of candy bars = (3350 - 1450) ÷ 2 = 950 g
Mass of caramel bars = 950 + 1450 = 2400 g

Mass of 1 set of candy bars = 950 g
Mass of 1 set of caramel bars = 2400 ÷ 5 = 480 g

Difference in the mass between 1 set of candy bars and 1 set of caramel bars
= 950 - 480
= 470 g

Number of items in each set
= 470 ÷ 47
= 10

Number of candy bars
= 1 x 10
= 10

(b)
Mass of 1 candy bar
= 950 ÷ 10
= 95 g

Mass of 1 caramel bar
= 95 - 47
= 48 g

Answer(s): (a) 10; (b) 48 g