There were some grapefruits at a stall. In the morning,
14 of grapefruits were sold. In the afternoon, another 24 grapefruits were sold. The total number of grapefruits left was 4 less than
512 of the number of grapefruits the stall had at first.
- How many grapefruits were there at first?
- What fraction of the grapefruits in the stall remained unsold in the afternoon?
|
Comparison 1 |
Comparison 2 |
Before |
4x3 = 12 u |
12x1 = 12 u |
Change 1 |
- 1x3 = - 3 u |
|
After 1 |
3x3 = 9 u |
Change 2 |
- 24 |
After 2 |
9 u - 24 |
5x1 - 4 = 5 u - 4 |
(a)
The number of grapefruits at first is repeated in both comparisons. Make the number of grapefruits at first. LCM of 4 and 12 is 12.
The number of grapefruits in the end is the same in both comparisons.
9 u - 24 = 5 u - 4
9 u - 5 u = 24 - 4
4 u = 20
1 u = 20 ÷ 4 = 5
Number of grapefruits at first
= 12 u
= 12 x 5
= 60
(b)
Number of grapefruits that remained unsold
= 9 u - 24
= 9 x 5 - 24
= 45 - 24
= 21
Fraction of grapefruits that remained unsold
=
2160=
720Answer(s): (a) 60; (b)
720