There were some pomegranates at a stall. In the morning, ¹₄ of pomegranates were sold. In the afternoon, another 20 pomegranates were sold. The total number of pomegranates sold was 6 less than ⁵₇ of the number of pomegranates the stall had at first.

1. How many pomegranates were there at first?
2. What fraction of the pomegranates in the stall remained unsold in the afternoon?

	Comparison 1	Comparison 2
Before	4x7 =  28 u	7x4 =  28 u
Change 1	- 1x7 = - 7 u
After 1	3x7 =  21 u
Change 2	- 20
After 2	21 u - 20	5x4 - 6 = 20 u - 6

(a)
The number of pomegranates at first is repeated in both comparisons. Make the number of pomegranates at first.  LCM of 4 and 7 is 28.

The number of pomegranates in the end is the same in both comparisons.

21 u - 20 = 20 u - 6
21 u - 20 u = 20 - 6
13 u = 26

1 u = 26 ÷ 13 = 2

Number of pomegranates at first
= 28 u
= 28 x 2
= 56

(b)
Number of pomegranates that remained unsold
= 8 u + 6
= 8 x 2 + 6
= 22

Fraction of pomegranates that remained unsold
= ²²₅₆
= ¹¹₂₈

Answer(s): (a) 56; (b) ¹¹₂₈