Risa had some fruits at her stall. ³₈ of them were peaches, ¹₄ of the remainder were kiwis and the rest were limes. The amounts earned for each peach, each kiwi and each lime sold are $1.20, $1.60 and $1.90 respectively. The number of peaches sold to the number of kiwis sold to the number of limes sold was 3 : 3 : 1. In total, she sold ¹₈ of the fruits and earned $41.20. How many peaches did she have at first?

Peaches	Kiwis	Limes	Total
3x4	5x4		8x4
	1x5	3x5
12 p	5 p	15 p	32 p

The total number of kiwis and limes is repeated.  Make the total number of kiwis and limes the same. LCM of 5 and 4 is 20.

	Peaches	Kiwis	Limes
Number	3 u	3 u	1 u
Value	$1.20	$1.60	$1.90
Total value	3.6 u	4.8 u	1.9 u

Total amount that Risa earned
= 3.6 u + 4.8 u + 1.9 u
= 10.3 u

10.3 u = 41.20
 
1 u = 41.20 ÷ 10.3 = 4

Total number of fruits sold
= 3 u + 3 u + 1 u
= 7 u
= 7 x 4
= 28

Total number of fruits at first
= 28 ÷ ¹₈
= 28 x 8
= 224

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

32 p = 224

1 p = 224 ÷ 32 = 7

Number of peaches that Risa had at first
= 12 p
= 12 x 7
= 84

Answer(s): 84