There were some dragonfruits at a mart. In the morning,
14 of dragonfruits were sold. In the afternoon, another 29 dragonfruits were sold. The total number of dragonfruits sold was 9 less than
34 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 |
4x1 = 4 u |
4x1 = 4 u |
Change 1 |
- 1x1 = - 1 u |
|
After 1 |
3x1 = 3 u |
Change 2 |
- 29 |
After 2 |
3 u - 29 |
3x1 - 9 = 3 u - 9 |
(a)
The number of dragonfruits at first is repeated in both comparisons. Make the number of dragonfruits at first. LCM of 4 and 4 is 4.
The number of dragonfruits in the end is the same in both comparisons.
3 u - 29 = 3 u - 9
3 u - 3 u = 29 - 9
2 u = 38
1 u = 38 ÷ 2 = 19
Number of dragonfruits at first
= 4 u
= 4 x 19
= 76
(b)
Number of dragonfruits that remained unsold
= 1 u + 9
= 1 x 19 + 9
= 28
Fraction of dragonfruits that remained unsold
=
2876=
719Answer(s): (a) 76; (b)
719