Jaslyn had some fruits at her stall. ³₈ of them were apricots, ¹₃ of the remainder were papayas and the rest were dragon fruits. The amounts earned for each apricot, each papaya and each dragon fruit sold are $1.50, $1.90 and $1.40 respectively. The number of apricots sold to the number of papayas sold to the number of dragon fruits sold was 3 : 5 : 2. In total, she sold ¹₆ of the fruits and earned $100.80. How many apricots did she have at first?

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

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

	Apricots	Papayas	Dragon Fruits
Number	3 u	5 u	2 u
Value	$1.50	$1.90	$1.40
Total value	4.5 u	9.5 u	2.8 u

Total amount that Jaslyn earned
= 4.5 u + 9.5 u + 2.8 u
= 16.8 u

16.8 u = 100.80
 
1 u = 100.80 ÷ 16.8 = 6

Total number of fruits sold
= 3 u + 5 u + 2 u
= 10 u
= 10 x 6
= 60

Total number of fruits at first
= 60 ÷ ¹₆
= 60 x 6
= 360

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

24 p = 360

1 p = 360 ÷ 24 = 15

Number of apricots that Jaslyn had at first
= 9 p
= 9 x 15
= 135

Answer(s): 135