Owen bought 4 times as many chocolate bars as candy bars. The total mass of chocolate bars and candy bars was 1932 g. The mass of candy bars was 644 g less than that of the chocolate bars. The mass of 1 candy bar was 46 g heavier than 1 chocolate bar.

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

	Chocolate Bars	Candy Bars	Total
Number of sets	4 sets	1 set
Compare each	1 u	1 u + 46
Total value	1288 g	644 g	1932 g

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

Mass of candy bars = (1932 - 644) ÷ 2 = 644 g
Mass of chocolate bars = 644 + 644 = 1288 g

Mass of 1 set of candy bars = 644 g
Mass of 1 set of chocolate bars = 1288 ÷ 4 = 322 g

Difference in the mass between 1 set of candy bars and 1 set of chocolate bars
= 644 - 322
= 322 g

Number of items in each set
= 322 ÷ 46
= 7

Number of chocolate bars
= 4 x 7
= 28

(b)
Mass of 1 candy bar
= 644 ÷ 7
= 92 g

Answer(s): (a) 28; (b) 92 g