Ben bought 4 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 1040 g. The mass of chocolate bars was 208 g less than that of the candy bars. The mass of 1 chocolate bar was 65 g heavier than 1 candy bar.
- Find the number of chocolate bars that Ben 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 + 65 |
|
Total value |
624 g |
416 g |
1040 g |
(a)
Mass of chocolate bars = 1 set
Mass of candy bars = 4 sets
Mass of chocolate bars = (1040 - 208) ÷ 2 = 416 g
Mass of candy bars = 416 + 208 = 624 g
Mass of 1 set of chocolate bars = 416 g
Mass of 1 set of candy bars = 624 ÷ 4 = 156 g
Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 416 - 156
= 260 g
Number of items in each set
= 260 ÷ 65
= 4
Number of chocolate bars
= 1 x 4
= 4
(b)
Mass of 1 chocolate bar
= 416 ÷ 4
= 104 g
Mass of 1 candy bar
= 104 - 65
= 39 g
Answer(s): (a) 4; (b) 39 g