Albert bought 2 times as many chocolate bars as candy bars. The total mass of chocolate bars and candy bars was 1630 g. The mass of candy bars was 170 g less than that of the chocolate bars. The mass of 1 candy bar was 28 g heavier than 1 chocolate bar.
- Find the number of chocolate bars that Albert bought.
- Find the mass of 1 candy bar.
|
Chocolate Bars |
Candy Bars |
Total |
Number of sets |
2 sets |
1 set |
|
Compare each |
1 u |
1 u + 28 |
|
Total value |
900 g |
730 g |
1630 g |
(a)
Mass of candy bars = 1 set
Mass of chocolate bars = 2 sets
Mass of candy bars = (1630 - 170) ÷ 2 = 730 g
Mass of chocolate bars = 730 + 170 = 900 g
Mass of 1 set of candy bars = 730 g
Mass of 1 set of chocolate bars = 900 ÷ 2 = 450 g
Difference in the mass between 1 set of candy bars and 1 set of chocolate bars
= 730 - 450
= 280 g
Number of items in each set
= 280 ÷ 28
= 10
Number of chocolate bars
= 2 x 10
= 20
(b)
Mass of 1 candy bar
= 730 ÷ 10
= 73 g
Answer(s): (a) 20; (b) 73 g