Peter bought 5 times as many chocolate bars as candy bars. The total mass of chocolate bars and candy bars was 1528 g. The mass of candy bars was 152 g less than that of the chocolate bars. The mass of 1 candy bar was 65 g heavier than 1 chocolate bar.
- Find the number of candy bars that Peter bought.
- Find the mass of 1 chocolate bar.
|
Chocolate Bars |
Candy Bars |
Total |
Number of sets |
5 sets |
1 set |
|
Compare each |
1 u |
1 u + 65 |
|
Total value |
840 g |
688 g |
1528 g |
(a)
Mass of candy bars = 1 set
Mass of chocolate bars = 5 sets
Mass of candy bars = (1528 - 152) ÷ 2 = 688 g
Mass of chocolate bars = 688 + 152 = 840 g
Mass of 1 set of candy bars = 688 g
Mass of 1 set of chocolate bars = 840 ÷ 5 = 168 g
Difference in the mass between 1 set of candy bars and 1 set of chocolate bars
= 688 - 168
= 520 g
Number of items in each set
= 520 ÷ 65
= 8
Number of candy bars
= 1 x 8
= 8
(b)
Mass of 1 candy bar
= 688 ÷ 8
= 86 g
Mass of 1 chocolate bar
= 86 - 65
= 21 g
Answer(s): (a) 8; (b) 21 g