Owen bought 3 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 2061 g. The mass of chocolate bars was 423 g less than that of the candy bars. The mass of 1 chocolate bar was 45 g heavier than 1 candy bar.
- Find the number of candy bars that Owen bought.
- Find the mass of 1 chocolate bar.
|
Candy Bars |
Chocolate Bars |
Total |
Number of sets |
3 sets |
1 set |
|
Compare each |
1 u |
1 u + 45 |
|
Total value |
1242 g |
819 g |
2061 g |
(a)
Mass of chocolate bars = 1 set
Mass of candy bars = 3 sets
Mass of chocolate bars = (2061 - 423) ÷ 2 = 819 g
Mass of candy bars = 819 + 423 = 1242 g
Mass of 1 set of chocolate bars = 819 g
Mass of 1 set of candy bars = 1242 ÷ 3 = 414 g
Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 819 - 414
= 405 g
Number of items in each set
= 405 ÷ 45
= 9
Number of candy bars
= 3 x 9
= 27
(b)
Mass of 1 chocolate bar
= 819 ÷ 9
= 91 g
Answer(s): (a) 27; (b) 91 g