John bought 5 times as many caramel bars as candy bars. The total mass of caramel bars and candy bars was 1230 g. The mass of candy bars was 120 g less than that of the caramel bars. The mass of 1 candy bar was 84 g heavier than 1 caramel bar.
- Find the number of candy bars that John bought.
- Find the mass of 1 caramel bar.
|
Caramel Bars |
Candy Bars |
Total |
Number of sets |
5 sets |
1 set |
|
Compare each |
1 u |
1 u + 84 |
|
Total value |
675 g |
555 g |
1230 g |
(a)
Mass of candy bars = 1 set
Mass of caramel bars = 5 sets
Mass of candy bars = (1230 - 120) ÷ 2 = 555 g
Mass of caramel bars = 555 + 120 = 675 g
Mass of 1 set of candy bars = 555 g
Mass of 1 set of caramel bars = 675 ÷ 5 = 135 g
Difference in the mass between 1 set of candy bars and 1 set of caramel bars
= 555 - 135
= 420 g
Number of items in each set
= 420 ÷ 84
= 5
Number of candy bars
= 1 x 5
= 5
(b)
Mass of 1 candy bar
= 555 ÷ 5
= 111 g
Mass of 1 caramel bar
= 111 - 84
= 27 g
Answer(s): (a) 5; (b) 27 g