Tom bought 4 times as many candy canes as caramel bars. The total mass of candy canes and caramel bars was 1128 g. The mass of caramel bars was 280 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 Tom bought.
- 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 + 62 |
|
Total value |
704 g |
424 g |
1128 g |
(a)
Mass of caramel bars = 1 set
Mass of candy canes = 4 sets
Mass of caramel bars = (1128 - 280) ÷ 2 = 424 g
Mass of candy canes = 424 + 280 = 704 g
Mass of 1 set of caramel bars = 424 g
Mass of 1 set of candy canes = 704 ÷ 4 = 176 g
Difference in the mass between 1 set of caramel bars and 1 set of candy canes
= 424 - 176
= 248 g
Number of items in each set
= 248 ÷ 62
= 4
Number of caramel bars
= 1 x 4
= 4
(b)
Mass of 1 caramel bar
= 424 ÷ 4
= 106 g
Mass of 1 candy cane
= 106 - 62
= 44 g
Answer(s): (a) 4; (b) 44 g