Sam bought 4 times as many chocolate bars as candy bars. The total mass of chocolate bars and candy bars was 1386 g. The mass of candy bars was 54 g less than that of the chocolate bars. The mass of 1 candy bar was 54 g heavier than 1 chocolate bar.

1. Find the number of candy bars that Sam 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 + 54
Total value	720 g	666 g	1386 g

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

Mass of candy bars = (1386 - 54) ÷ 2 = 666 g
Mass of chocolate bars = 666 + 54 = 720 g

Mass of 1 set of candy bars = 666 g
Mass of 1 set of chocolate bars = 720 ÷ 4 = 180 g

Difference in the mass between 1 set of candy bars and 1 set of chocolate bars
= 666 - 180
= 486 g

Number of items in each set
= 486 ÷ 54
= 9

Number of candy bars
= 1 x 9
= 9

(b)
Mass of 1 candy bar
= 666 ÷ 9
= 74 g

Mass of 1 chocolate bar
= 74 - 54
= 20 g

Answer(s): (a) 9; (b) 20 g