Gabriel bought 3 times as many chocolate bars as candy bars. The total mass of chocolate bars and candy bars was 1120 g. The mass of candy bars was 350 g less than that of the chocolate bars. The mass of 1 candy bar was 28 g heavier than 1 chocolate bar.
- Find the number of candy bars that Gabriel bought.
- Find the mass of 1 chocolate bar.
|
Chocolate Bars |
Candy Bars |
Total |
Number of sets |
3 sets |
1 set |
|
Compare each |
1 u |
1 u + 28 |
|
Total value |
735 g |
385 g |
1120 g |
(a)
Mass of candy bars = 1 set
Mass of chocolate bars = 3 sets
Mass of candy bars = (1120 - 350) ÷ 2 = 385 g
Mass of chocolate bars = 385 + 350 = 735 g
Mass of 1 set of candy bars = 385 g
Mass of 1 set of chocolate bars = 735 ÷ 3 = 245 g
Difference in the mass between 1 set of candy bars and 1 set of chocolate bars
= 385 - 245
= 140 g
Number of items in each set
= 140 ÷ 28
= 5
Number of candy bars
= 1 x 5
= 5
(b)
Mass of 1 candy bar
= 385 ÷ 5
= 77 g
Mass of 1 chocolate bar
= 77 - 28
= 49 g
Answer(s): (a) 5; (b) 49 g