There were some lemons at a supermarket. In the morning, ¹₆ of lemons were sold. In the afternoon, another 26 lemons were sold. The total number of lemons left was 5 less than ⁷₁₂ of the number of lemons the supermarket had at first.

1. How many lemons were there at first?
2. What fraction of the lemons in the supermarket 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	- 26
After 2	10 u - 26	7x1 - 5 = 7 u - 5

(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 - 26 = 7 u - 5
10 u - 7 u = 26 - 5
3 u = 21

1 u = 21 ÷ 3 = 7

Number of lemons at first
= 12 u
= 12 x 7
= 84

(b)
Number of lemons that remained unsold
= 10 u - 26
= 10 x 7 - 26
= 70 - 26
= 44

Fraction of lemons that remained unsold
= ⁴⁴₈₄
= ¹¹₂₁

Answer(s): (a) 84; (b) ¹¹₂₁