Anna had some fruits at her stall. ³₈ of them were apricots, ³₄ of the remainder were peaches and the rest were apples. The amounts earned for each apricot, each peach and each apple sold are $1.80, $1.20 and $1.40 respectively. The number of apricots sold to the number of peaches sold to the number of apples sold was 3 : 1 : 4. In total, she sold ¹₈ of the fruits and earned $85.40. How many apricots did she have at first?

Apricots	Peaches	Apples	Total
3x4	5x4		8x4
	3x5	1x5
12 p	15 p	5 p	32 p

The total number of peaches and apples is repeated.  Make the total number of peaches and apples the same. LCM of 5 and 4 is 20.

	Apricots	Peaches	Apples
Number	3 u	1 u	4 u
Value	$1.80	$1.20	$1.40
Total value	5.4 u	1.2 u	5.6 u

Total amount that Anna earned
= 5.4 u + 1.2 u + 5.6 u
= 12.2 u

12.2 u = 85.40
 
1 u = 85.40 ÷ 12.2 = 7

Total number of fruits sold
= 3 u + 1 u + 4 u
= 8 u
= 8 x 7
= 56

Total number of fruits at first
= 56 ÷ ¹₈
= 56 x 8
= 448

Total number of fruits at first
= 12 p + 15 p + 5 p
= 32 p

32 p = 448

1 p = 448 ÷ 32 = 14

Number of apricots that Anna had at first
= 12 p
= 12 x 14
= 168

Answer(s): 168