Tom bought 5 times as many chocolate bars as candy bars. The total mass of chocolate bars and candy bars was 3087 g. The mass of candy bars was 1323 g less than that of the chocolate bars. The mass of 1 candy bar was 49 g heavier than 1 chocolate bar.
- Find the number of candy bars that Tom 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 + 49 |
|
Total value |
2205 g |
882 g |
3087 g |
(a)
Mass of candy bars = 1 set
Mass of chocolate bars = 5 sets
Mass of candy bars = (3087 - 1323) ÷ 2 = 882 g
Mass of chocolate bars = 882 + 1323 = 2205 g
Mass of 1 set of candy bars = 882 g
Mass of 1 set of chocolate bars = 2205 ÷ 5 = 441 g
Difference in the mass between 1 set of candy bars and 1 set of chocolate bars
= 882 - 441
= 441 g
Number of items in each set
= 441 ÷ 49
= 9
Number of candy bars
= 1 x 9
= 9
(b)
Mass of 1 candy bar
= 882 ÷ 9
= 98 g
Mass of 1 chocolate bar
= 98 - 49
= 49 g
Answer(s): (a) 9; (b) 49 g