There were some passion fruits at a stall. In the morning,
15 of passion fruits were sold. In the afternoon, another 21 passion fruits were sold. The total number of passion fruits sold was 2 less than
712 of the number of passion fruits the stall had at first.
- How many passion fruits were there at first?
- What fraction of the passion fruits in the stall remained unsold in the afternoon?
|
Comparison 1 |
Comparison 2 |
Before |
5x12 = 60 u |
12x5 = 60 u |
Change 1 |
- 1x12 = - 12 u |
|
After 1 |
4x12 = 48 u |
Change 2 |
- 21 |
After 2 |
48 u - 21 |
7x5 - 2 = 35 u - 2 |
(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 12 is 60.
The number of passion fruits in the end is the same in both comparisons.
48 u - 21 = 35 u - 2
48 u - 35 u = 21 - 2
23 u = 23
1 u = 23 ÷ 23 = 1
Number of passion fruits at first
= 60 u
= 60 x 1
= 60
(b)
Number of passion fruits that remained unsold
= 25 u + 2
= 25 x 1 + 2
= 27
Fraction of passion fruits that remained unsold
=
2760=
920Answer(s): (a) 60; (b)
920