Wendy had some fruits at her stall. ³₈ of them were peaches, ¹₄ of the remainder were apricots and the rest were grapefruits. The amounts earned for each peach, each apricot and each grapefruit sold are $1.50, $1.80 and $1.10 respectively. The number of peaches sold to the number of apricots sold to the number of grapefruits sold was 1 : 3 : 2. In total, she sold ¹₈ of the fruits and earned $72.80. How many peaches did she have at first?

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

The total number of apricots and grapefruits is repeated.  Make the total number of apricots and grapefruits the same. LCM of 5 and 4 is 20.

	Peaches	Apricots	Grapefruits
Number	1 u	3 u	2 u
Value	$1.50	$1.80	$1.10
Total value	1.5 u	5.4 u	2.2 u

Total amount that Wendy earned
= 1.5 u + 5.4 u + 2.2 u
= 9.1 u

9.1 u = 72.80
 
1 u = 72.80 ÷ 9.1 = 8

Total number of fruits sold
= 1 u + 3 u + 2 u
= 6 u
= 6 x 8
= 48

Total number of fruits at first
= 48 ÷ ¹₈
= 48 x 8
= 384

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

32 p = 384

1 p = 384 ÷ 32 = 12

Number of peaches that Wendy had at first
= 12 p
= 12 x 12
= 144

Answer(s): 144