Harry bought 4 times as many caramel bars as candy bars. The total mass of caramel bars and candy bars was 2500 g. The mass of candy bars was 140 g less than that of the caramel bars. The mass of 1 candy bar was 85 g heavier than 1 caramel bar.
- Find the number of caramel bars that Harry bought.
- Find the mass of 1 candy bar.
|
Caramel Bars |
Candy Bars |
Total |
Number of sets |
4 sets |
1 set |
|
Compare each |
1 u |
1 u + 85 |
|
Total value |
1320 g |
1180 g |
2500 g |
(a)
Mass of candy bars = 1 set
Mass of caramel bars = 4 sets
Mass of candy bars = (2500 - 140) ÷ 2 = 1180 g
Mass of caramel bars = 1180 + 140 = 1320 g
Mass of 1 set of candy bars = 1180 g
Mass of 1 set of caramel bars = 1320 ÷ 4 = 330 g
Difference in the mass between 1 set of candy bars and 1 set of caramel bars
= 1180 - 330
= 850 g
Number of items in each set
= 850 ÷ 85
= 10
Number of caramel bars
= 4 x 10
= 40
(b)
Mass of 1 candy bar
= 1180 ÷ 10
= 118 g
Answer(s): (a) 40; (b) 118 g