Ivan bought 3 times as many candy canes as caramel bars. The total mass of candy canes and caramel bars was 1596 g. The mass of caramel bars was 84 g less than that of the candy canes. The mass of 1 caramel bar was 68 g heavier than 1 candy cane.

1. Find the number of caramel bars that Ivan bought.
2. Find the mass of 1 candy cane.

	Candy Canes	Caramel Bars	Total
Number of sets	3 sets	1 set
Compare each	1 u	1 u + 68
Total value	840 g	756 g	1596 g

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

Mass of caramel bars = (1596 - 84) ÷ 2 = 756 g
Mass of candy canes = 756 + 84 = 840 g

Mass of 1 set of caramel bars = 756 g
Mass of 1 set of candy canes = 840 ÷ 3 = 280 g

Difference in the mass between 1 set of caramel bars and 1 set of candy canes
= 756 - 280
= 476 g

Number of items in each set
= 476 ÷ 68
= 7

Number of caramel bars
= 1 x 7
= 7

(b)
Mass of 1 caramel bar
= 756 ÷ 7
= 108 g

Mass of 1 candy cane
= 108 - 68
= 40 g

Answer(s): (a) 7; (b) 40 g