Pierre bought 3 times as many candy canes as caramel bars. The total mass of candy canes and caramel bars was 1274 g. The mass of caramel bars was 154 g less than that of the candy canes. The mass of 1 caramel bar was 46 g heavier than 1 candy cane.
- Find the number of caramel bars that Pierre bought.
- Find the mass of 1 candy cane.
|
Candy Canes |
Caramel Bars |
Total |
Number of sets |
3 sets |
1 set |
|
Compare each |
1 u |
1 u + 46 |
|
Total value |
714 g |
560 g |
1274 g |
(a)
Mass of caramel bars = 1 set
Mass of candy canes = 3 sets
Mass of caramel bars = (1274 - 154) ÷ 2 = 560 g
Mass of candy canes = 560 + 154 = 714 g
Mass of 1 set of caramel bars = 560 g
Mass of 1 set of candy canes = 714 ÷ 3 = 238 g
Difference in the mass between 1 set of caramel bars and 1 set of candy canes
= 560 - 238
= 322 g
Number of items in each set
= 322 ÷ 46
= 7
Number of caramel bars
= 1 x 7
= 7
(b)
Mass of 1 caramel bar
= 560 ÷ 7
= 80 g
Mass of 1 candy cane
= 80 - 46
= 34 g
Answer(s): (a) 7; (b) 34 g