Eric bought 2 times as many chocolate bars as candy bars. The total mass of chocolate bars and candy bars was 1566 g. The mass of candy bars was 126 g less than that of the chocolate bars. The mass of 1 candy bar was 33 g heavier than 1 chocolate bar.
- Find the number of candy bars that Eric bought.
- Find the mass of 1 chocolate bar.
|
Chocolate Bars |
Candy Bars |
Total |
Number of sets |
2 sets |
1 set |
|
Compare each |
1 u |
1 u + 33 |
|
Total value |
846 g |
720 g |
1566 g |
(a)
Mass of candy bars = 1 set
Mass of chocolate bars = 2 sets
Mass of candy bars = (1566 - 126) ÷ 2 = 720 g
Mass of chocolate bars = 720 + 126 = 846 g
Mass of 1 set of candy bars = 720 g
Mass of 1 set of chocolate bars = 846 ÷ 2 = 423 g
Difference in the mass between 1 set of candy bars and 1 set of chocolate bars
= 720 - 423
= 297 g
Number of items in each set
= 297 ÷ 33
= 9
Number of candy bars
= 1 x 9
= 9
(b)
Mass of 1 candy bar
= 720 ÷ 9
= 80 g
Mass of 1 chocolate bar
= 80 - 33
= 47 g
Answer(s): (a) 9; (b) 47 g