Oscar bought 3 times as many caramel bars as candy bars. The total mass of caramel bars and candy bars was 820 g. The mass of candy bars was 68 g less than that of the caramel bars. The mass of 1 candy bar was 57 g heavier than 1 caramel bar.
- Find the number of candy bars that Oscar 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 + 57 |
|
Total value |
444 g |
376 g |
820 g |
(a)
Mass of candy bars = 1 set
Mass of caramel bars = 3 sets
Mass of candy bars = (820 - 68) ÷ 2 = 376 g
Mass of caramel bars = 376 + 68 = 444 g
Mass of 1 set of candy bars = 376 g
Mass of 1 set of caramel bars = 444 ÷ 3 = 148 g
Difference in the mass between 1 set of candy bars and 1 set of caramel bars
= 376 - 148
= 228 g
Number of items in each set
= 228 ÷ 57
= 4
Number of candy bars
= 1 x 4
= 4
(b)
Mass of 1 candy bar
= 376 ÷ 4
= 94 g
Mass of 1 caramel bar
= 94 - 57
= 37 g
Answer(s): (a) 4; (b) 37 g