Lee bought 5 times as many chocolate bars as candy bars. The total mass of chocolate bars and candy bars was 1236 g. The mass of candy bars was 444 g less than that of the chocolate bars. The mass of 1 candy bar was 57 g heavier than 1 chocolate bar.
- Find the number of candy bars that Lee bought.
- Find the mass of 1 chocolate bar.
|
Chocolate Bars |
Candy Bars |
Total |
Number of sets |
5 sets |
1 set |
|
Compare each |
1 u |
1 u + 57 |
|
Total value |
840 g |
396 g |
1236 g |
(a)
Mass of candy bars = 1 set
Mass of chocolate bars = 5 sets
Mass of candy bars = (1236 - 444) ÷ 2 = 396 g
Mass of chocolate bars = 396 + 444 = 840 g
Mass of 1 set of candy bars = 396 g
Mass of 1 set of chocolate bars = 840 ÷ 5 = 168 g
Difference in the mass between 1 set of candy bars and 1 set of chocolate bars
= 396 - 168
= 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
= 396 ÷ 4
= 99 g
Mass of 1 chocolate bar
= 99 - 57
= 42 g
Answer(s): (a) 4; (b) 42 g