There were some passion fruits at a supermarket. In the morning,
15 of passion fruits were sold. In the afternoon, another 27 passion fruits were sold. The total number of passion fruits sold was 3 less than
35 of the number of passion fruits the supermarket had at first.
- How many passion fruits were there at first?
- What fraction of the passion fruits 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 |
- 27 |
After 2 |
4 u - 27 |
3x1 - 3 = 3 u - 3 |
(a)
The number of passion fruits at first is repeated in both comparisons. Make the number of passion fruits at first. LCM of 5 and 5 is 5.
The number of passion fruits in the end is the same in both comparisons.
4 u - 27 = 3 u - 3
4 u - 3 u = 27 - 3
2 u = 30
1 u = 30 ÷ 2 = 15
Number of passion fruits at first
= 5 u
= 5 x 15
= 75
(b)
Number of passion fruits that remained unsold
= 2 u + 3
= 2 x 15 + 3
= 33
Fraction of passion fruits that remained unsold
=
3375=
1125Answer(s): (a) 75; (b)
1125