There were some mangoes at a market. In the morning, ¹₄ of mangoes were sold. In the afternoon, another 23 mangoes were sold. The total number of mangoes left was 8 less than ⁴₇ of the number of mangoes the market had at first.

1. How many mangoes were there at first?
2. What fraction of the mangoes in the market 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	- 23
After 2	21 u - 23	4x4 - 8 = 16 u - 8

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

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

21 u - 23 = 16 u - 8
21 u - 16 u = 23 - 8
5 u = 15

1 u = 15 ÷ 5 = 3

Number of mangoes at first
= 28 u
= 28 x 3
= 84

(b)
Number of mangoes that remained unsold
= 21 u - 23
= 21 x 3 - 23
= 63 - 23
= 40

Fraction of mangoes that remained unsold
= ⁴⁰₈₄
= ¹⁰₂₁

Answer(s): (a) 84; (b) ¹⁰₂₁