Tim bought 2 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 1590 g. The mass of chocolate bars was 50 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 chocolate bars that Tim bought.
- Find the mass of 1 candy bar.
|
Candy Bars |
Chocolate Bars |
Total |
Number of sets |
2 sets |
1 set |
|
Compare each |
1 u |
1 u + 36 |
|
Total value |
820 g |
770 g |
1590 g |
(a)
Mass of chocolate bars = 1 set
Mass of candy bars = 2 sets
Mass of chocolate bars = (1590 - 50) ÷ 2 = 770 g
Mass of candy bars = 770 + 50 = 820 g
Mass of 1 set of chocolate bars = 770 g
Mass of 1 set of candy bars = 820 ÷ 2 = 410 g
Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 770 - 410
= 360 g
Number of items in each set
= 360 ÷ 36
= 10
Number of chocolate bars
= 1 x 10
= 10
(b)
Mass of 1 chocolate bar
= 770 ÷ 10
= 77 g
Mass of 1 candy bar
= 77 - 36
= 41 g
Answer(s): (a) 10; (b) 41 g