Simon bought 4 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 2529 g. The mass of chocolate bars was 855 g less than that of the candy bars. The mass of 1 chocolate bar was 46 g heavier than 1 candy bar.

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

	Candy Bars	Chocolate Bars	Total
Number of sets	4 sets	1 set
Compare each	1 u	1 u + 46
Total value	1692 g	837 g	2529 g

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

Mass of chocolate bars = (2529 - 855) ÷ 2 = 837 g
Mass of candy bars = 837 + 855 = 1692 g

Mass of 1 set of chocolate bars = 837 g
Mass of 1 set of candy bars = 1692 ÷ 4 = 423 g

Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 837 - 423
= 414 g

Number of items in each set
= 414 ÷ 46
= 9

Number of chocolate bars
= 1 x 9
= 9

(b)
Mass of 1 chocolate bar
= 837 ÷ 9
= 93 g

Mass of 1 candy bar
= 93 - 46
= 47 g

Answer(s): (a) 9; (b) 47 g