There were some pomegranates at a stall. In the morning,
16 of pomegranates were sold. In the afternoon, another 37 pomegranates were sold. The total number of pomegranates sold was 9 less than
57 of the number of pomegranates the stall had at first.
- How many pomegranates were there at first?
- What fraction of the pomegranates in the stall remained unsold in the afternoon?
|
Comparison 1 |
Comparison 2 |
Before |
6x7 = 42 u |
7x6 = 42 u |
Change 1 |
- 1x7 = - 7 u |
|
After 1 |
5x7 = 35 u |
Change 2 |
- 37 |
After 2 |
35 u - 37 |
5x6 - 9 = 30 u - 9 |
(a)
The number of pomegranates at first is repeated in both comparisons. Make the number of pomegranates at first. LCM of 6 and 7 is 42.
The number of pomegranates in the end is the same in both comparisons.
35 u - 37 = 30 u - 9
35 u - 30 u = 37 - 9
23 u = 46
1 u = 46 ÷ 23 = 2
Number of pomegranates at first
= 42 u
= 42 x 2
= 84
(b)
Number of pomegranates that remained unsold
= 12 u + 9
= 12 x 2 + 9
= 33
Fraction of pomegranates that remained unsold
=
3384=
1128Answer(s): (a) 84; (b)
1128