Will bought 4 times as many candy canes as caramel bars. The total mass of candy canes and caramel bars was 1680 g. The mass of caramel bars was 280 g less than that of the candy canes. The mass of 1 caramel bar was 65 g heavier than 1 candy cane.
- Find the number of candy canes that Will bought.
- Find the mass of 1 caramel bar.
|
Candy Canes |
Caramel Bars |
Total |
Number of sets |
4 sets |
1 set |
|
Compare each |
1 u |
1 u + 65 |
|
Total value |
980 g |
700 g |
1680 g |
(a)
Mass of caramel bars = 1 set
Mass of candy canes = 4 sets
Mass of caramel bars = (1680 - 280) ÷ 2 = 700 g
Mass of candy canes = 700 + 280 = 980 g
Mass of 1 set of caramel bars = 700 g
Mass of 1 set of candy canes = 980 ÷ 4 = 245 g
Difference in the mass between 1 set of caramel bars and 1 set of candy canes
= 700 - 245
= 455 g
Number of items in each set
= 455 ÷ 65
= 7
Number of candy canes
= 4 x 7
= 28
(b)
Mass of 1 caramel bar
= 700 ÷ 7
= 100 g
Answer(s): (a) 28; (b) 100 g