Flynn bought 4 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 2056 g. The mass of chocolate bars was 824 g less than that of the candy bars. The mass of 1 chocolate bar was 32 g heavier than 1 candy bar.
- Find the number of candy bars that Flynn bought.
- Find the mass of 1 chocolate bar.
|
Candy Bars |
Chocolate Bars |
Total |
Number of sets |
4 sets |
1 set |
|
Compare each |
1 u |
1 u + 32 |
|
Total value |
1440 g |
616 g |
2056 g |
(a)
Mass of chocolate bars = 1 set
Mass of candy bars = 4 sets
Mass of chocolate bars = (2056 - 824) ÷ 2 = 616 g
Mass of candy bars = 616 + 824 = 1440 g
Mass of 1 set of chocolate bars = 616 g
Mass of 1 set of candy bars = 1440 ÷ 4 = 360 g
Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 616 - 360
= 256 g
Number of items in each set
= 256 ÷ 32
= 8
Number of candy bars
= 4 x 8
= 32
(b)
Mass of 1 chocolate bar
= 616 ÷ 8
= 77 g
Answer(s): (a) 32; (b) 77 g