Xandra had some fruits at her stall. ³₈ of them were avocados, ¹₂ of the remainder were dragon fruits and the rest were plums. The amounts earned for each avocado, each dragon fruit and each plum sold are $1.80, $1.90 and $1.40 respectively. The number of avocados sold to the number of dragon fruits sold to the number of plums sold was 1 : 2 : 3. In total, she sold ¹₈ of the fruits and earned $68.60. How many avocados did she have at first?

Avocados	Dragon Fruits	Plums	Total
3x2	5x2		8x2
	1x5	1x5
6 p	5 p	5 p	16 p

The total number of dragon fruits and plums is repeated.  Make the total number of dragon fruits and plums the same. LCM of 5 and 2 is 10.

	Avocados	Dragon Fruits	Plums
Number	1 u	2 u	3 u
Value	$1.80	$1.90	$1.40
Total value	1.8 u	3.8 u	4.2 u

Total amount that Xandra earned
= 1.8 u + 3.8 u + 4.2 u
= 9.8 u

9.8 u = 68.60
 
1 u = 68.60 ÷ 9.8 = 7

Total number of fruits sold
= 1 u + 2 u + 3 u
= 6 u
= 6 x 7
= 42

Total number of fruits at first
= 42 ÷ ¹₈
= 42 x 8
= 336

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

16 p = 336

1 p = 336 ÷ 16 = 21

Number of avocados that Xandra had at first
= 6 p
= 6 x 21
= 126

Answer(s): 126