There were some lemons at a market. In the morning,
16 of lemons were sold. In the afternoon, another 22 lemons were sold. The total number of lemons sold was 3 less than
712 of the number of lemons the market had at first.
- How many lemons were there at first?
- What fraction of the lemons in the market remained unsold in the afternoon?
| |
Comparison 1 |
Comparison 2 |
| Before |
6x2 =
12 u |
12x1 =
12 u |
| Change 1 |
- 1x2 =
- 2 u |
|
| After 1 |
5x2 =
10 u |
| Change 2 |
- 22 |
After 2 |
10 u - 22 |
7x1 - 3 =
7 u - 3 |
(a)
The number of lemons at first is repeated in both comparisons. Make the number of lemons at first. LCM of 6 and 12 is 12.
The number of lemons in the end is the same in both comparisons.
10 u - 22 = 7 u - 3
10 u - 7 u = 22 - 3
5 u = 25
1 u = 25 ÷ 5 = 5
Number of lemons at first
= 12 u
= 12 x 5
= 60
(b)
Number of lemons that remained unsold
= 5 u + 3
= 5 x 5 + 3
= 28
Fraction of lemons that remained unsold
=
2860=
715Answer(s): (a) 60; (b)
715 
