Pierre bought 5 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 1340 g. The mass of chocolate bars was 620 g less than that of the candy bars. The mass of 1 chocolate bar was 41 g heavier than 1 candy bar.
- Find the number of chocolate bars that Pierre bought.
- Find the mass of 1 candy bar.
|
Candy Bars |
Chocolate Bars |
Total |
Number of sets |
5 sets |
1 set |
|
Compare each |
1 u |
1 u + 41 |
|
Total value |
980 g |
360 g |
1340 g |
(a)
Mass of chocolate bars = 1 set
Mass of candy bars = 5 sets
Mass of chocolate bars = (1340 - 620) ÷ 2 = 360 g
Mass of candy bars = 360 + 620 = 980 g
Mass of 1 set of chocolate bars = 360 g
Mass of 1 set of candy bars = 980 ÷ 5 = 196 g
Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 360 - 196
= 164 g
Number of items in each set
= 164 ÷ 41
= 4
Number of chocolate bars
= 1 x 4
= 4
(b)
Mass of 1 chocolate bar
= 360 ÷ 4
= 90 g
Mass of 1 candy bar
= 90 - 41
= 49 g
Answer(s): (a) 4; (b) 49 g