Perry bought 5 times as many chocolate bars as candy bars. The total mass of chocolate bars and candy bars was 960 g. The mass of candy bars was 80 g less than that of the chocolate bars. The mass of 1 candy bar was 84 g heavier than 1 chocolate bar.
- Find the number of chocolate bars that Perry bought.
- Find the mass of 1 candy bar.
|
Chocolate Bars |
Candy Bars |
Total |
Number of sets |
5 sets |
1 set |
|
Compare each |
1 u |
1 u + 84 |
|
Total value |
520 g |
440 g |
960 g |
(a)
Mass of candy bars = 1 set
Mass of chocolate bars = 5 sets
Mass of candy bars = (960 - 80) ÷ 2 = 440 g
Mass of chocolate bars = 440 + 80 = 520 g
Mass of 1 set of candy bars = 440 g
Mass of 1 set of chocolate bars = 520 ÷ 5 = 104 g
Difference in the mass between 1 set of candy bars and 1 set of chocolate bars
= 440 - 104
= 336 g
Number of items in each set
= 336 ÷ 84
= 4
Number of chocolate bars
= 5 x 4
= 20
(b)
Mass of 1 candy bar
= 440 ÷ 4
= 110 g
Answer(s): (a) 20; (b) 110 g