Mark bought 4 times as many candy canes as caramel bars. The total mass of candy canes and caramel bars was 1253 g. The mass of caramel bars was 147 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 caramel bars that Mark bought.
2. Find the mass of 1 candy cane.

	Candy Canes	Caramel Bars	Total
Number of sets	4 sets	1 set
Compare each	1 u	1 u + 54
Total value	700 g	553 g	1253 g

(a)
Mass of caramel bars = 1 set
Mass of candy canes = 4 sets

Mass of caramel bars = (1253 - 147) ÷ 2 = 553 g
Mass of candy canes = 553 + 147 = 700 g

Mass of 1 set of caramel bars = 553 g
Mass of 1 set of candy canes = 700 ÷ 4 = 175 g

Difference in the mass between 1 set of caramel bars and 1 set of candy canes
= 553 - 175
= 378 g

Number of items in each set
= 378 ÷ 54
= 7

Number of caramel bars
= 1 x 7
= 7

(b)
Mass of 1 caramel bar
= 553 ÷ 7
= 79 g

Mass of 1 candy cane
= 79 - 54
= 25 g

Answer(s): (a) 7; (b) 25 g