There were some starfruits at a market. In the morning, ¹₆ of starfruits were sold. In the afternoon, another 22 starfruits were sold. The total number of starfruits sold was 3 less than ⁷₁₂ of the number of starfruits the market had at first.

1. How many starfruits were there at first?
2. What fraction of the starfruits in the market 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	- 22
After 2	10 u - 22	7x1 - 3 = 7 u - 3

(a)
The number of starfruits at first is repeated in both comparisons. Make the number of starfruits at first.  LCM of 6 and 12 is 12.

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

10 u - 22 = 7 u - 3
10 u - 7 u = 22 - 3
5 u = 25

1 u = 25 ÷ 5 = 5

Number of starfruits at first
= 12 u
= 12 x 5
= 60

(b)
Number of starfruits that remained unsold
= 5 u + 3
= 5 x 5 + 3
= 28

Fraction of starfruits that remained unsold
= ²⁸₆₀
= ⁷₁₅

Answer(s): (a) 60; (b) ⁷₁₅