Tommy bought 3 times as many caramel bars as candy bars. The total mass of caramel bars and candy bars was 1980 g. The mass of candy bars was 396 g less than that of the caramel bars. The mass of 1 candy bar was 44 g heavier than 1 caramel bar.
- Find the number of candy bars that Tommy bought.
- Find the mass of 1 caramel bar.
|
Caramel Bars |
Candy Bars |
Total |
Number of sets |
3 sets |
1 set |
|
Compare each |
1 u |
1 u + 44 |
|
Total value |
1188 g |
792 g |
1980 g |
(a)
Mass of candy bars = 1 set
Mass of caramel bars = 3 sets
Mass of candy bars = (1980 - 396) ÷ 2 = 792 g
Mass of caramel bars = 792 + 396 = 1188 g
Mass of 1 set of candy bars = 792 g
Mass of 1 set of caramel bars = 1188 ÷ 3 = 396 g
Difference in the mass between 1 set of candy bars and 1 set of caramel bars
= 792 - 396
= 396 g
Number of items in each set
= 396 ÷ 44
= 9
Number of candy bars
= 1 x 9
= 9
(b)
Mass of 1 candy bar
= 792 ÷ 9
= 88 g
Mass of 1 caramel bar
= 88 - 44
= 44 g
Answer(s): (a) 9; (b) 44 g