Elijah bought 5 times as many candy canes as caramel bars. The total mass of candy canes and caramel bars was 2219 g. The mass of caramel bars was 1001 g less than that of the candy canes. The mass of 1 caramel bar was 41 g heavier than 1 candy cane.

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

	Candy Canes	Caramel Bars	Total
Number of sets	5 sets	1 set
Compare each	1 u	1 u + 41
Total value	1610 g	609 g	2219 g

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

Mass of caramel bars = (2219 - 1001) ÷ 2 = 609 g
Mass of candy canes = 609 + 1001 = 1610 g

Mass of 1 set of caramel bars = 609 g
Mass of 1 set of candy canes = 1610 ÷ 5 = 322 g

Difference in the mass between 1 set of caramel bars and 1 set of candy canes
= 609 - 322
= 287 g

Number of items in each set
= 287 ÷ 41
= 7

Number of candy canes
= 5 x 7
= 35

(b)
Mass of 1 caramel bar
= 609 ÷ 7
= 87 g

Answer(s): (a) 35; (b) 87 g