David bought 5 times as many candy canes as caramel bars. The total mass of candy canes and caramel bars was 2177 g. The mass of caramel bars was 1183 g less than that of the candy canes. The mass of 1 caramel bar was 23 g heavier than 1 candy cane.

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

	Candy Canes	Caramel Bars	Total
Number of sets	5 sets	1 set
Compare each	1 u	1 u + 23
Total value	1680 g	497 g	2177 g

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

Mass of caramel bars = (2177 - 1183) ÷ 2 = 497 g
Mass of candy canes = 497 + 1183 = 1680 g

Mass of 1 set of caramel bars = 497 g
Mass of 1 set of candy canes = 1680 ÷ 5 = 336 g

Difference in the mass between 1 set of caramel bars and 1 set of candy canes
= 497 - 336
= 161 g

Number of items in each set
= 161 ÷ 23
= 7

Number of caramel bars
= 1 x 7
= 7

(b)
Mass of 1 caramel bar
= 497 ÷ 7
= 71 g

Mass of 1 candy cane
= 71 - 23
= 48 g

Answer(s): (a) 7; (b) 48 g