Zane bought 3 times as many caramel bars as candy bars. The total mass of caramel bars and candy bars was 888 g. The mass of candy bars was 24 g less than that of the caramel bars. The mass of 1 candy bar was 70 g heavier than 1 caramel bar.
- Find the number of caramel bars that Zane bought.
- Find the mass of 1 candy bar.
|
Caramel Bars |
Candy Bars |
Total |
Number of sets |
3 sets |
1 set |
|
Compare each |
1 u |
1 u + 70 |
|
Total value |
456 g |
432 g |
888 g |
(a)
Mass of candy bars = 1 set
Mass of caramel bars = 3 sets
Mass of candy bars = (888 - 24) ÷ 2 = 432 g
Mass of caramel bars = 432 + 24 = 456 g
Mass of 1 set of candy bars = 432 g
Mass of 1 set of caramel bars = 456 ÷ 3 = 152 g
Difference in the mass between 1 set of candy bars and 1 set of caramel bars
= 432 - 152
= 280 g
Number of items in each set
= 280 ÷ 70
= 4
Number of caramel bars
= 3 x 4
= 12
(b)
Mass of 1 candy bar
= 432 ÷ 4
= 108 g
Answer(s): (a) 12; (b) 108 g