Owen bought 4 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 2295 g. The mass of chocolate bars was 945 g less than that of the candy bars. The mass of 1 chocolate bar was 30 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 |
4 sets |
1 set |
|
Compare each |
1 u |
1 u + 30 |
|
Total value |
1620 g |
675 g |
2295 g |
(a)
Mass of chocolate bars = 1 set
Mass of candy bars = 4 sets
Mass of chocolate bars = (2295 - 945) ÷ 2 = 675 g
Mass of candy bars = 675 + 945 = 1620 g
Mass of 1 set of chocolate bars = 675 g
Mass of 1 set of candy bars = 1620 ÷ 4 = 405 g
Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 675 - 405
= 270 g
Number of items in each set
= 270 ÷ 30
= 9
Number of candy bars
= 4 x 9
= 36
(b)
Mass of 1 chocolate bar
= 675 ÷ 9
= 75 g
Answer(s): (a) 36; (b) 75 g