Tom bought 4 times as many candy canes as caramel bars. The total mass of candy canes and caramel bars was 1710 g. The mass of caramel bars was 498 g less than that of the candy canes. The mass of 1 caramel bar was 55 g heavier than 1 candy cane.

1. Find the number of candy canes that Tom bought.
2. Find the mass of 1 caramel bar.

	Candy Canes	Caramel Bars	Total
Number of sets	4 sets	1 set
Compare each	1 u	1 u + 55
Total value	1104 g	606 g	1710 g

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

Mass of caramel bars = (1710 - 498) ÷ 2 = 606 g
Mass of candy canes = 606 + 498 = 1104 g

Mass of 1 set of caramel bars = 606 g
Mass of 1 set of candy canes = 1104 ÷ 4 = 276 g

Difference in the mass between 1 set of caramel bars and 1 set of candy canes
= 606 - 276
= 330 g

Number of items in each set
= 330 ÷ 55
= 6

Number of candy canes
= 4 x 6
= 24

(b)
Mass of 1 caramel bar
= 606 ÷ 6
= 101 g

Answer(s): (a) 24; (b) 101 g