Harry bought 3 times as many caramel bars as candy bars. The total mass of caramel bars and candy bars was 1416 g. The mass of candy bars was 216 g less than that of the caramel bars. The mass of 1 candy bar was 41 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 |
3 sets |
1 set |
|
Compare each |
1 u |
1 u + 41 |
|
Total value |
816 g |
600 g |
1416 g |
(a)
Mass of candy bars = 1 set
Mass of caramel bars = 3 sets
Mass of candy bars = (1416 - 216) ÷ 2 = 600 g
Mass of caramel bars = 600 + 216 = 816 g
Mass of 1 set of candy bars = 600 g
Mass of 1 set of caramel bars = 816 ÷ 3 = 272 g
Difference in the mass between 1 set of candy bars and 1 set of caramel bars
= 600 - 272
= 328 g
Number of items in each set
= 328 ÷ 41
= 8
Number of caramel bars
= 3 x 8
= 24
(b)
Mass of 1 candy bar
= 600 ÷ 8
= 75 g
Answer(s): (a) 24; (b) 75 g