Cole bought 3 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 2000 g. The mass of chocolate bars was 40 g less than that of the candy bars. The mass of 1 chocolate bar was 64 g heavier than 1 candy bar.
- Find the number of candy bars that Cole bought.
- Find the mass of 1 chocolate bar.
|
Candy Bars |
Chocolate Bars |
Total |
Number of sets |
3 sets |
1 set |
|
Compare each |
1 u |
1 u + 64 |
|
Total value |
1020 g |
980 g |
2000 g |
(a)
Mass of chocolate bars = 1 set
Mass of candy bars = 3 sets
Mass of chocolate bars = (2000 - 40) ÷ 2 = 980 g
Mass of candy bars = 980 + 40 = 1020 g
Mass of 1 set of chocolate bars = 980 g
Mass of 1 set of candy bars = 1020 ÷ 3 = 340 g
Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 980 - 340
= 640 g
Number of items in each set
= 640 ÷ 64
= 10
Number of candy bars
= 3 x 10
= 30
(b)
Mass of 1 chocolate bar
= 980 ÷ 10
= 98 g
Answer(s): (a) 30; (b) 98 g