Sam bought 3 times as many candy canes as caramel bars. The total mass of candy canes and caramel bars was 1374 g. The mass of caramel bars was 426 g less than that of the candy canes. The mass of 1 caramel bar was 29 g heavier than 1 candy cane.

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

	Candy Canes	Caramel Bars	Total
Number of sets	3 sets	1 set
Compare each	1 u	1 u + 29
Total value	900 g	474 g	1374 g

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

Mass of caramel bars = (1374 - 426) ÷ 2 = 474 g
Mass of candy canes = 474 + 426 = 900 g

Mass of 1 set of caramel bars = 474 g
Mass of 1 set of candy canes = 900 ÷ 3 = 300 g

Difference in the mass between 1 set of caramel bars and 1 set of candy canes
= 474 - 300
= 174 g

Number of items in each set
= 174 ÷ 29
= 6

Number of candy canes
= 3 x 6
= 18

(b)
Mass of 1 caramel bar
= 474 ÷ 6
= 79 g

Answer(s): (a) 18; (b) 79 g