Roshel had some fruits at her stall. ³₈ of them were peaches, ¹₃ of the remainder were dragon fruits and the rest were papayas. The amounts earned for each peach, each dragon fruit and each papaya sold are $1.40, $1.70 and $1.20 respectively. The number of peaches sold to the number of dragon fruits sold to the number of papayas sold was 3 : 1 : 2. In total, she sold ¹₄ of the fruits and earned $16.60. How many peaches did she have at first?

Peaches	Dragon Fruits	Papayas	Total
3x3	5x3		8x3
	1x5	2x5
9 p	5 p	10 p	24 p

The total number of dragon fruits and papayas is repeated.  Make the total number of dragon fruits and papayas the same. LCM of 5 and 3 is 15.

	Peaches	Dragon Fruits	Papayas
Number	3 u	1 u	2 u
Value	$1.40	$1.70	$1.20
Total value	4.2 u	1.7 u	2.4 u

Total amount that Roshel earned
= 4.2 u + 1.7 u + 2.4 u
= 8.3 u

8.3 u = 16.60
 
1 u = 16.60 ÷ 8.3 = 2

Total number of fruits sold
= 3 u + 1 u + 2 u
= 6 u
= 6 x 2
= 12

Total number of fruits at first
= 12 ÷ ¹₄
= 12 x 4
= 48

Total number of fruits at first
= 9 p + 5 p + 10 p
= 24 p

24 p = 48

1 p = 48 ÷ 24 = 2

Number of peaches that Roshel had at first
= 9 p
= 9 x 2
= 18

Answer(s): 18