Vincent bought 4 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 1771 g. The mass of chocolate bars was 301 g less than that of the candy bars. The mass of 1 chocolate bar was 68 g heavier than 1 candy bar.
- Find the number of chocolate bars that Vincent bought.
- Find the mass of 1 candy bar.
|
Candy Bars |
Chocolate Bars |
Total |
Number of sets |
4 sets |
1 set |
|
Compare each |
1 u |
1 u + 68 |
|
Total value |
1036 g |
735 g |
1771 g |
(a)
Mass of chocolate bars = 1 set
Mass of candy bars = 4 sets
Mass of chocolate bars = (1771 - 301) ÷ 2 = 735 g
Mass of candy bars = 735 + 301 = 1036 g
Mass of 1 set of chocolate bars = 735 g
Mass of 1 set of candy bars = 1036 ÷ 4 = 259 g
Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 735 - 259
= 476 g
Number of items in each set
= 476 ÷ 68
= 7
Number of chocolate bars
= 1 x 7
= 7
(b)
Mass of 1 chocolate bar
= 735 ÷ 7
= 105 g
Mass of 1 candy bar
= 105 - 68
= 37 g
Answer(s): (a) 7; (b) 37 g