There were some dragonfruits at a supermarket. In the morning,
15 of dragonfruits were sold. In the afternoon, another 31 dragonfruits were sold. The total number of dragonfruits sold was 7 less than
35 of the number of dragonfruits the supermarket had at first.
- How many dragonfruits were there at first?
- What fraction of the dragonfruits in the supermarket remained unsold in the afternoon?
|
Comparison 1 |
Comparison 2 |
Before |
5x1 = 5 u |
5x1 = 5 u |
Change 1 |
- 1x1 = - 1 u |
|
After 1 |
4x1 = 4 u |
Change 2 |
- 31 |
After 2 |
4 u - 31 |
3x1 - 7 = 3 u - 7 |
(a)
The number of dragonfruits at first is repeated in both comparisons. Make the number of dragonfruits at first. LCM of 5 and 5 is 5.
The number of dragonfruits in the end is the same in both comparisons.
4 u - 31 = 3 u - 7
4 u - 3 u = 31 - 7
2 u = 38
1 u = 38 ÷ 2 = 19
Number of dragonfruits at first
= 5 u
= 5 x 19
= 95
(b)
Number of dragonfruits that remained unsold
= 2 u + 7
= 2 x 19 + 7
= 45
Fraction of dragonfruits that remained unsold
=
4595=
919Answer(s): (a) 95; (b)
919