There were some pomegranates at a market. In the morning,
13 of pomegranates were sold. In the afternoon, another 36 pomegranates were sold. The total number of pomegranates sold was 9 less than
34 of the number of pomegranates the market had at first.
- How many pomegranates were there at first?
- What fraction of the pomegranates in the market remained unsold in the afternoon?
|
Comparison 1 |
Comparison 2 |
Before |
3x4 = 12 u |
4x3 = 12 u |
Change 1 |
- 1x4 = - 4 u |
|
After 1 |
2x4 = 8 u |
Change 2 |
- 36 |
After 2 |
8 u - 36 |
3x3 - 9 = 9 u - 9 |
(a)
The number of pomegranates at first is repeated in both comparisons. Make the number of pomegranates at first. LCM of 3 and 4 is 12.
The number of pomegranates in the end is the same in both comparisons.
8 u - 36 = 9 u - 9
8 u - 9 u = 36 - 9
5 u = 45
1 u = 45 ÷ 5 = 9
Number of pomegranates at first
= 12 u
= 12 x 9
= 108
(b)
Number of pomegranates that remained unsold
= 3 u + 9
= 3 x 9 + 9
= 36
Fraction of pomegranates that remained unsold
=
36108=
13Answer(s): (a) 108; (b)
13