Lee bought 3 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 724 g. The mass of chocolate bars was 44 g less than that of the candy bars. The mass of 1 chocolate bar was 53 g heavier than 1 candy bar.
- Find the number of candy bars that Lee 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 + 53 |
|
Total value |
384 g |
340 g |
724 g |
(a)
Mass of chocolate bars = 1 set
Mass of candy bars = 3 sets
Mass of chocolate bars = (724 - 44) ÷ 2 = 340 g
Mass of candy bars = 340 + 44 = 384 g
Mass of 1 set of chocolate bars = 340 g
Mass of 1 set of candy bars = 384 ÷ 3 = 128 g
Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 340 - 128
= 212 g
Number of items in each set
= 212 ÷ 53
= 4
Number of candy bars
= 3 x 4
= 12
(b)
Mass of 1 chocolate bar
= 340 ÷ 4
= 85 g
Answer(s): (a) 12; (b) 85 g