Wesley bought 3 times as many chocolate bars as candy bars. The total mass of chocolate bars and candy bars was 985 g. The mass of candy bars was 5 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 Wesley 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 + 65 |
|
Total value |
495 g |
490 g |
985 g |
(a)
Mass of candy bars = 1 set
Mass of chocolate bars = 3 sets
Mass of candy bars = (985 - 5) ÷ 2 = 490 g
Mass of chocolate bars = 490 + 5 = 495 g
Mass of 1 set of candy bars = 490 g
Mass of 1 set of chocolate bars = 495 ÷ 3 = 165 g
Difference in the mass between 1 set of candy bars and 1 set of chocolate bars
= 490 - 165
= 325 g
Number of items in each set
= 325 ÷ 65
= 5
Number of candy bars
= 1 x 5
= 5
(b)
Mass of 1 candy bar
= 490 ÷ 5
= 98 g
Mass of 1 chocolate bar
= 98 - 65
= 33 g
Answer(s): (a) 5; (b) 33 g