Ivan bought 3 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 2300 g. The mass of chocolate bars was 520 g less than that of the candy bars. The mass of 1 chocolate bar was 42 g heavier than 1 candy bar.

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

	Candy Bars	Chocolate Bars	Total
Number of sets	3 sets	1 set
Compare each	1 u	1 u + 42
Total value	1410 g	890 g	2300 g

(a)
Mass of chocolate bars = 1 set
Mass of candy bars = 3 sets

Mass of chocolate bars = (2300 - 520) ÷ 2 = 890 g
Mass of candy bars = 890 + 520 = 1410 g

Mass of 1 set of chocolate bars = 890 g
Mass of 1 set of candy bars = 1410 ÷ 3 = 470 g

Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 890 - 470
= 420 g

Number of items in each set
= 420 ÷ 42
= 10

Number of chocolate bars
= 1 x 10
= 10

(b)
Mass of 1 chocolate bar
= 890 ÷ 10
= 89 g

Mass of 1 candy bar
= 89 - 42
= 47 g

Answer(s): (a) 10; (b) 47 g