Peter bought 5 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 1896 g. The mass of chocolate bars was 264 g less than that of the candy bars. The mass of 1 chocolate bar was 75 g heavier than 1 candy bar.
- Find the number of candy bars that Peter bought.
- Find the mass of 1 chocolate bar.
|
Candy Bars |
Chocolate Bars |
Total |
Number of sets |
5 sets |
1 set |
|
Compare each |
1 u |
1 u + 75 |
|
Total value |
1080 g |
816 g |
1896 g |
(a)
Mass of chocolate bars = 1 set
Mass of candy bars = 5 sets
Mass of chocolate bars = (1896 - 264) ÷ 2 = 816 g
Mass of candy bars = 816 + 264 = 1080 g
Mass of 1 set of chocolate bars = 816 g
Mass of 1 set of candy bars = 1080 ÷ 5 = 216 g
Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 816 - 216
= 600 g
Number of items in each set
= 600 ÷ 75
= 8
Number of candy bars
= 5 x 8
= 40
(b)
Mass of 1 chocolate bar
= 816 ÷ 8
= 102 g
Answer(s): (a) 40; (b) 102 g