Kimberly had some fruits at her stall. ³₈ of them were avocados, ¹₂ of the remainder were limes and the rest were mangosteens. The amounts earned for each avocado, each lime and each mangosteen sold are $1.20, $1.70 and $1.40 respectively. The number of avocados sold to the number of limes sold to the number of mangosteens sold was 3 : 4 : 1. In total, she sold ¹₄ of the fruits and earned $23.60. How many avocados did she have at first?

Avocados	Limes	Mangosteens	Total
3x2	5x2		8x2
	1x5	1x5
6 p	5 p	5 p	16 p

The total number of limes and mangosteens is repeated.  Make the total number of limes and mangosteens the same. LCM of 5 and 2 is 10.

	Avocados	Limes	Mangosteens
Number	3 u	4 u	1 u
Value	$1.20	$1.70	$1.40
Total value	3.6 u	6.8 u	1.4 u

Total amount that Kimberly earned
= 3.6 u + 6.8 u + 1.4 u
= 11.8 u

11.8 u = 23.60
 
1 u = 23.60 ÷ 11.8 = 2

Total number of fruits sold
= 3 u + 4 u + 1 u
= 8 u
= 8 x 2
= 16

Total number of fruits at first
= 16 ÷ ¹₄
= 16 x 4
= 64

Total number of fruits at first
= 6 p + 5 p + 5 p
= 16 p

16 p = 64

1 p = 64 ÷ 16 = 4

Number of avocados that Kimberly had at first
= 6 p
= 6 x 4
= 24

Answer(s): 24