Xavier bought 4 times as many candy bars as chocolate bars. The total mass of candy bars and chocolate bars was 1920 g. The mass of chocolate bars was 576 g less than that of the candy bars. The mass of 1 chocolate bar was 45 g heavier than 1 candy bar.
- Find the number of chocolate bars that Xavier 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 + 45 |
|
Total value |
1248 g |
672 g |
1920 g |
(a)
Mass of chocolate bars = 1 set
Mass of candy bars = 4 sets
Mass of chocolate bars = (1920 - 576) ÷ 2 = 672 g
Mass of candy bars = 672 + 576 = 1248 g
Mass of 1 set of chocolate bars = 672 g
Mass of 1 set of candy bars = 1248 ÷ 4 = 312 g
Difference in the mass between 1 set of chocolate bars and 1 set of candy bars
= 672 - 312
= 360 g
Number of items in each set
= 360 ÷ 45
= 8
Number of chocolate bars
= 1 x 8
= 8
(b)
Mass of 1 chocolate bar
= 672 ÷ 8
= 84 g
Mass of 1 candy bar
= 84 - 45
= 39 g
Answer(s): (a) 8; (b) 39 g