Albert bought 3 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 1764 g. The mass of chocolate bars was 72 g less than that of the candy bars. The mass of 1 chocolate bar was 60 g heavier than 1 candy bar.
- Find the number of chocolate bars that Albert bought.
- Find the mass of 1 candy bar.
|
Candy Bars |
Chocolate Bars |
Total |
Number of sets |
3 sets |
1 set |
|
Compare each |
1 u |
1 u + 60 |
|
Total value |
918 g |
846 g |
1764 g |
(a)
Mass of chocolate bars = 1 set
Mass of candy bars = 3 sets
Mass of chocolate bars = (1764 - 72) ÷ 2 = 846 g
Mass of candy bars = 846 + 72 = 918 g
Mass of 1 set of chocolate bars = 846 g
Mass of 1 set of candy bars = 918 ÷ 3 = 306 g
Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 846 - 306
= 540 g
Number of items in each set
= 540 ÷ 60
= 9
Number of chocolate bars
= 1 x 9
= 9
(b)
Mass of 1 chocolate bar
= 846 ÷ 9
= 94 g
Mass of 1 candy bar
= 94 - 60
= 34 g
Answer(s): (a) 9; (b) 34 g