There were some dragonfruits at a mart. In the morning,
16 of dragonfruits were sold. In the afternoon, another 23 dragonfruits were sold. The total number of dragonfruits left was 9 less than
35 of the number of dragonfruits the mart had at first.
- How many dragonfruits were there at first?
- What fraction of the dragonfruits in the mart remained unsold in the afternoon?
|
Comparison 1 |
Comparison 2 |
Before |
6x5 = 30 u |
5x6 = 30 u |
Change 1 |
- 1x5 = - 5 u |
|
After 1 |
5x5 = 25 u |
Change 2 |
- 23 |
After 2 |
25 u - 23 |
3x6 - 9 = 18 u - 9 |
(a)
The number of dragonfruits at first is repeated in both comparisons. Make the number of dragonfruits at first. LCM of 6 and 5 is 30.
The number of dragonfruits in the end is the same in both comparisons.
25 u - 23 = 18 u - 9
25 u - 18 u = 23 - 9
7 u = 14
1 u = 14 ÷ 7 = 2
Number of dragonfruits at first
= 30 u
= 30 x 2
= 60
(b)
Number of dragonfruits that remained unsold
= 25 u - 23
= 25 x 2 - 23
= 50 - 23
= 27
Fraction of dragonfruits that remained unsold
=
2760=
920Answer(s): (a) 60; (b)
920