Xavier bought 5 times as many candy canes as caramel bars. The total mass of candy canes and caramel bars was 2576 g. The mass of caramel bars was 1264 g less than that of the candy canes. The mass of 1 caramel bar was 34 g heavier than 1 candy cane.
- Find the number of caramel bars that Xavier 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 + 34 |
|
Total value |
1920 g |
656 g |
2576 g |
(a)
Mass of caramel bars = 1 set
Mass of candy canes = 5 sets
Mass of caramel bars = (2576 - 1264) ÷ 2 = 656 g
Mass of candy canes = 656 + 1264 = 1920 g
Mass of 1 set of caramel bars = 656 g
Mass of 1 set of candy canes = 1920 ÷ 5 = 384 g
Difference in the mass between 1 set of caramel bars and 1 set of candy canes
= 656 - 384
= 272 g
Number of items in each set
= 272 ÷ 34
= 8
Number of caramel bars
= 1 x 8
= 8
(b)
Mass of 1 caramel bar
= 656 ÷ 8
= 82 g
Mass of 1 candy cane
= 82 - 34
= 48 g
Answer(s): (a) 8; (b) 48 g