Eric bought 5 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 1380 g. The mass of chocolate bars was 620 g less than that of the candy bars. The mass of 1 chocolate bar was 36 g heavier than 1 candy bar.
- Find the number of candy bars that Eric 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 + 36 |
|
Total value |
1000 g |
380 g |
1380 g |
(a)
Mass of chocolate bars = 1 set
Mass of candy bars = 5 sets
Mass of chocolate bars = (1380 - 620) ÷ 2 = 380 g
Mass of candy bars = 380 + 620 = 1000 g
Mass of 1 set of chocolate bars = 380 g
Mass of 1 set of candy bars = 1000 ÷ 5 = 200 g
Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 380 - 200
= 180 g
Number of items in each set
= 180 ÷ 36
= 5
Number of candy bars
= 5 x 5
= 25
(b)
Mass of 1 chocolate bar
= 380 ÷ 5
= 76 g
Answer(s): (a) 25; (b) 76 g