Brandon bought 3 times as many candy canes as caramel bars. The total mass of candy canes and caramel bars was 1015 g. The mass of caramel bars was 125 g less than that of the candy canes. The mass of 1 caramel bar was 51 g heavier than 1 candy cane.

1. Find the number of candy canes that Brandon 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 + 51
Total value	570 g	445 g	1015 g

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

Mass of caramel bars = (1015 - 125) ÷ 2 = 445 g
Mass of candy canes = 445 + 125 = 570 g

Mass of 1 set of caramel bars = 445 g
Mass of 1 set of candy canes = 570 ÷ 3 = 190 g

Difference in the mass between 1 set of caramel bars and 1 set of candy canes
= 445 - 190
= 255 g

Number of items in each set
= 255 ÷ 51
= 5

Number of candy canes
= 3 x 5
= 15

(b)
Mass of 1 caramel bar
= 445 ÷ 5
= 89 g

Answer(s): (a) 15; (b) 89 g