Tom bought 4 times as many chocolate bars as candy bars. The total mass of chocolate bars and candy bars was 2770 g. The mass of candy bars was 830 g less than that of the chocolate bars. The mass of 1 candy bar was 52 g heavier than 1 chocolate bar.

1. Find the number of candy bars that Tom bought.
2. Find the mass of 1 chocolate bar.

	Chocolate Bars	Candy Bars	Total
Number of sets	4 sets	1 set
Compare each	1 u	1 u + 52
Total value	1800 g	970 g	2770 g

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

Mass of candy bars = (2770 - 830) ÷ 2 = 970 g
Mass of chocolate bars = 970 + 830 = 1800 g

Mass of 1 set of candy bars = 970 g
Mass of 1 set of chocolate bars = 1800 ÷ 4 = 450 g

Difference in the mass between 1 set of candy bars and 1 set of chocolate bars
= 970 - 450
= 520 g

Number of items in each set
= 520 ÷ 52
= 10

Number of candy bars
= 1 x 10
= 10

(b)
Mass of 1 candy bar
= 970 ÷ 10
= 97 g

Mass of 1 chocolate bar
= 97 - 52
= 45 g

Answer(s): (a) 10; (b) 45 g