Erika had some fruits at her stall. ³₈ of them were peaches, ¹₄ of the remainder were oranges and the rest were papayas. The amounts earned for each peach, each orange and each papaya sold are $1.40, $1.60 and $1.50 respectively. The number of peaches sold to the number of oranges sold to the number of papayas sold was 3 : 1 : 1. In total, she sold ¹₈ of the fruits and earned $29.20. How many peaches did she have at first?

Peaches	Oranges	Papayas	Total
3x4	5x4		8x4
	1x5	3x5
12 p	5 p	15 p	32 p

The total number of oranges and papayas is repeated.  Make the total number of oranges and papayas the same. LCM of 5 and 4 is 20.

	Peaches	Oranges	Papayas
Number	3 u	1 u	1 u
Value	$1.40	$1.60	$1.50
Total value	4.2 u	1.6 u	1.5 u

Total amount that Erika earned
= 4.2 u + 1.6 u + 1.5 u
= 7.3 u

7.3 u = 29.20
 
1 u = 29.20 ÷ 7.3 = 4

Total number of fruits sold
= 3 u + 1 u + 1 u
= 5 u
= 5 x 4
= 20

Total number of fruits at first
= 20 ÷ ¹₈
= 20 x 8
= 160

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

32 p = 160

1 p = 160 ÷ 32 = 5

Number of peaches that Erika had at first
= 12 p
= 12 x 5
= 60

Answer(s): 60