Cody bought 4 times as many chocolate bars as candy bars. The total mass of chocolate bars and candy bars was 1435 g. The mass of candy bars was 405 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 Cody bought.
- Find the mass of 1 chocolate bar.
|
Chocolate Bars |
Candy Bars |
Total |
Number of sets |
4 sets |
1 set |
|
Compare each |
1 u |
1 u + 57 |
|
Total value |
920 g |
515 g |
1435 g |
(a)
Mass of candy bars = 1 set
Mass of chocolate bars = 4 sets
Mass of candy bars = (1435 - 405) ÷ 2 = 515 g
Mass of chocolate bars = 515 + 405 = 920 g
Mass of 1 set of candy bars = 515 g
Mass of 1 set of chocolate bars = 920 ÷ 4 = 230 g
Difference in the mass between 1 set of candy bars and 1 set of chocolate bars
= 515 - 230
= 285 g
Number of items in each set
= 285 ÷ 57
= 5
Number of candy bars
= 1 x 5
= 5
(b)
Mass of 1 candy bar
= 515 ÷ 5
= 103 g
Mass of 1 chocolate bar
= 103 - 57
= 46 g
Answer(s): (a) 5; (b) 46 g