There were some pomegranates at a market. In the morning,
16 of pomegranates were sold. In the afternoon, another 20 pomegranates were sold. The total number of pomegranates left was 6 less than
35 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 |
6x5 = 30 u |
5x6 = 30 u |
Change 1 |
- 1x5 = - 5 u |
|
After 1 |
5x5 = 25 u |
Change 2 |
- 20 |
After 2 |
25 u - 20 |
3x6 - 6 = 18 u - 6 |
(a)
The number of pomegranates at first is repeated in both comparisons. Make the number of pomegranates at first. LCM of 6 and 5 is 30.
The number of pomegranates in the end is the same in both comparisons.
25 u - 20 = 18 u - 6
25 u - 18 u = 20 - 6
7 u = 14
1 u = 14 ÷ 7 = 2
Number of pomegranates at first
= 30 u
= 30 x 2
= 60
(b)
Number of pomegranates that remained unsold
= 25 u - 20
= 25 x 2 - 20
= 50 - 20
= 30
Fraction of pomegranates that remained unsold
=
3060=
12Answer(s): (a) 60; (b)
12