Paul bought 4 times as many chocolate bars as candy bars. The total mass of chocolate bars and candy bars was 2152 g. The mass of candy bars was 984 g less than that of the chocolate bars. The mass of 1 candy bar was 24 g heavier than 1 chocolate bar.
- Find the number of chocolate bars that Paul bought.
- Find the mass of 1 candy bar.
|
Chocolate Bars |
Candy Bars |
Total |
Number of sets |
4 sets |
1 set |
|
Compare each |
1 u |
1 u + 24 |
|
Total value |
1568 g |
584 g |
2152 g |
(a)
Mass of candy bars = 1 set
Mass of chocolate bars = 4 sets
Mass of candy bars = (2152 - 984) ÷ 2 = 584 g
Mass of chocolate bars = 584 + 984 = 1568 g
Mass of 1 set of candy bars = 584 g
Mass of 1 set of chocolate bars = 1568 ÷ 4 = 392 g
Difference in the mass between 1 set of candy bars and 1 set of chocolate bars
= 584 - 392
= 192 g
Number of items in each set
= 192 ÷ 24
= 8
Number of chocolate bars
= 4 x 8
= 32
(b)
Mass of 1 candy bar
= 584 ÷ 8
= 73 g
Answer(s): (a) 32; (b) 73 g