Sean bought 3 times as many chocolate bars as candy bars. The total mass of chocolate bars and candy bars was 1950 g. The mass of candy bars was 150 g less than that of the chocolate bars. The mass of 1 candy bar was 55 g heavier than 1 chocolate bar.
- Find the number of chocolate bars that Sean bought.
- Find the mass of 1 candy bar.
|
Chocolate Bars |
Candy Bars |
Total |
Number of sets |
3 sets |
1 set |
|
Compare each |
1 u |
1 u + 55 |
|
Total value |
1050 g |
900 g |
1950 g |
(a)
Mass of candy bars = 1 set
Mass of chocolate bars = 3 sets
Mass of candy bars = (1950 - 150) ÷ 2 = 900 g
Mass of chocolate bars = 900 + 150 = 1050 g
Mass of 1 set of candy bars = 900 g
Mass of 1 set of chocolate bars = 1050 ÷ 3 = 350 g
Difference in the mass between 1 set of candy bars and 1 set of chocolate bars
= 900 - 350
= 550 g
Number of items in each set
= 550 ÷ 55
= 10
Number of chocolate bars
= 3 x 10
= 30
(b)
Mass of 1 candy bar
= 900 ÷ 10
= 90 g
Answer(s): (a) 30; (b) 90 g