There were some dragonfruits at a stall. In the morning,
15 of dragonfruits were sold. In the afternoon, another 40 dragonfruits were sold. The total number of dragonfruits sold was 4 less than
34 of the number of dragonfruits the stall had at first.
- How many dragonfruits were there at first?
- What fraction of the dragonfruits in the stall remained unsold in the afternoon?
|
Comparison 1 |
Comparison 2 |
Before |
5x4 = 20 u |
4x5 = 20 u |
Change 1 |
- 1x4 = - 4 u |
|
After 1 |
4x4 = 16 u |
Change 2 |
- 40 |
After 2 |
16 u - 40 |
3x5 - 4 = 15 u - 4 |
(a)
The number of dragonfruits at first is repeated in both comparisons. Make the number of dragonfruits at first. LCM of 5 and 4 is 20.
The number of dragonfruits in the end is the same in both comparisons.
16 u - 40 = 15 u - 4
16 u - 15 u = 40 - 4
11 u = 44
1 u = 44 ÷ 11 = 4
Number of dragonfruits at first
= 20 u
= 20 x 4
= 80
(b)
Number of dragonfruits that remained unsold
= 5 u + 4
= 5 x 4 + 4
= 24
Fraction of dragonfruits that remained unsold
=
2480=
310Answer(s): (a) 80; (b)
310