Vincent bought 5 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 1284 g. The mass of chocolate bars was 636 g less than that of the candy bars. The mass of 1 chocolate bar was 33 g heavier than 1 candy bar.

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

	Candy Bars	Chocolate Bars	Total
Number of sets	5 sets	1 set
Compare each	1 u	1 u + 33
Total value	960 g	324 g	1284 g

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

Mass of chocolate bars = (1284 - 636) ÷ 2 = 324 g
Mass of candy bars = 324 + 636 = 960 g

Mass of 1 set of chocolate bars = 324 g
Mass of 1 set of candy bars = 960 ÷ 5 = 192 g

Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 324 - 192
= 132 g

Number of items in each set
= 132 ÷ 33
= 4

Number of chocolate bars
= 1 x 4
= 4

(b)
Mass of 1 chocolate bar
= 324 ÷ 4
= 81 g

Mass of 1 candy bar
= 81 - 33
= 48 g

Answer(s): (a) 4; (b) 48 g