Oscar bought 5 times as many candy canes as caramel bars. The total mass of candy canes and caramel bars was 1980 g. The mass of caramel bars was 420 g less than that of the candy canes. The mass of 1 caramel bar was 54 g heavier than 1 candy cane.

1. Find the number of candy canes that Oscar 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 + 54
Total value	1200 g	780 g	1980 g

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

Mass of caramel bars = (1980 - 420) ÷ 2 = 780 g
Mass of candy canes = 780 + 420 = 1200 g

Mass of 1 set of caramel bars = 780 g
Mass of 1 set of candy canes = 1200 ÷ 5 = 240 g

Difference in the mass between 1 set of caramel bars and 1 set of candy canes
= 780 - 240
= 540 g

Number of items in each set
= 540 ÷ 54
= 10

Number of candy canes
= 5 x 10
= 50

(b)
Mass of 1 caramel bar
= 780 ÷ 10
= 78 g

Answer(s): (a) 50; (b) 78 g