Fiona had some fruits at her stall. ³₈ of them were apricots, ¹₃ of the remainder were limes and the rest were grapefruits. The amounts earned for each apricot, each lime and each grapefruit sold are $1.50, $1.30 and $1.10 respectively. The number of apricots sold to the number of limes sold to the number of grapefruits sold was 3 : 5 : 1. In total, she sold ¹₈ of the fruits and earned $60.50. How many apricots did she have at first?

Apricots	Limes	Grapefruits	Total
3x3	5x3		8x3
	1x5	2x5
9 p	5 p	10 p	24 p

The total number of limes and grapefruits is repeated.  Make the total number of limes and grapefruits the same. LCM of 5 and 3 is 15.

	Apricots	Limes	Grapefruits
Number	3 u	5 u	1 u
Value	$1.50	$1.30	$1.10
Total value	4.5 u	6.5 u	1.1 u

Total amount that Fiona earned
= 4.5 u + 6.5 u + 1.1 u
= 12.1 u

12.1 u = 60.50
 
1 u = 60.50 ÷ 12.1 = 5

Total number of fruits sold
= 3 u + 5 u + 1 u
= 9 u
= 9 x 5
= 45

Total number of fruits at first
= 45 ÷ ¹₈
= 45 x 8
= 360

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

24 p = 360

1 p = 360 ÷ 24 = 15

Number of apricots that Fiona had at first
= 9 p
= 9 x 15
= 135

Answer(s): 135