Charlie bought 4 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 1100 g. The mass of chocolate bars was 20 g less than that of the candy bars. The mass of 1 chocolate bar was 80 g heavier than 1 candy bar.
- Find the number of candy bars that Charlie 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 + 80 |
|
Total value |
560 g |
540 g |
1100 g |
(a)
Mass of chocolate bars = 1 set
Mass of candy bars = 4 sets
Mass of chocolate bars = (1100 - 20) ÷ 2 = 540 g
Mass of candy bars = 540 + 20 = 560 g
Mass of 1 set of chocolate bars = 540 g
Mass of 1 set of candy bars = 560 ÷ 4 = 140 g
Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 540 - 140
= 400 g
Number of items in each set
= 400 ÷ 80
= 5
Number of candy bars
= 4 x 5
= 20
(b)
Mass of 1 chocolate bar
= 540 ÷ 5
= 108 g
Answer(s): (a) 20; (b) 108 g