Ben bought 5 times as many candy canes as caramel bars. The total mass of candy canes and caramel bars was 3560 g. The mass of caramel bars was 1340 g less than that of the candy canes. The mass of 1 caramel bar was 62 g heavier than 1 candy cane.
- Find the number of caramel bars that Ben bought.
- 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 + 62 |
|
Total value |
2450 g |
1110 g |
3560 g |
(a)
Mass of caramel bars = 1 set
Mass of candy canes = 5 sets
Mass of caramel bars = (3560 - 1340) ÷ 2 = 1110 g
Mass of candy canes = 1110 + 1340 = 2450 g
Mass of 1 set of caramel bars = 1110 g
Mass of 1 set of candy canes = 2450 ÷ 5 = 490 g
Difference in the mass between 1 set of caramel bars and 1 set of candy canes
= 1110 - 490
= 620 g
Number of items in each set
= 620 ÷ 62
= 10
Number of caramel bars
= 1 x 10
= 10
(b)
Mass of 1 caramel bar
= 1110 ÷ 10
= 111 g
Mass of 1 candy cane
= 111 - 62
= 49 g
Answer(s): (a) 10; (b) 49 g