Gem had some fruits at her stall. ³₈ of them were mangosteens, ²₃ of the remainder were pears and the rest were apricots. The amounts earned for each mangosteen, each pear and each apricot sold are $1.40, $1.10 and $1.30 respectively. The number of mangosteens sold to the number of pears sold to the number of apricots sold was 3 : 5 : 3. In total, she sold ¹₆ of the fruits and earned $108.80. How many apricots did she have at first?

Mangosteens	Pears	Apricots	Total
3x3	5x3		8x3
	2x5	1x5
9 p	10 p	5 p	24 p

The total number of pears and apricots is repeated.  Make the total number of pears and apricots the same. LCM of 5 and 3 is 15.

	Mangosteens	Pears	Apricots
Number	3 u	5 u	3 u
Value	$1.40	$1.10	$1.30
Total value	4.2 u	5.5 u	3.9 u

Total amount that Gem earned
= 4.2 u + 5.5 u + 3.9 u
= 13.6 u

13.6 u = 108.80
 
1 u = 108.80 ÷ 13.6 = 8

Total number of fruits sold
= 3 u + 5 u + 3 u
= 11 u
= 11 x 8
= 88

Total number of fruits at first
= 88 ÷ ¹₆
= 88 x 6
= 528

Total number of fruits at first
= 9 p + 10 p + 5 p
= 24 p

24 p = 528

1 p = 528 ÷ 24 = 22

Number of apricots that Gem had at first
= 5 p
= 5 x 22
= 110

Answer(s): 110