Wendy had some fruits at her stall. ³₈ of them were dragon fruits, ²₃ of the remainder were lemons and the rest were tomatoes. The amounts earned for each dragon fruit, each lemon and each tomato sold are $1.90, $1.10 and $1.30 respectively. The number of dragon fruits sold to the number of lemons sold to the number of tomatoes sold was 3 : 1 : 5. In total, she sold ¹₈ of the fruits and earned $239.40. How many dragon fruits did she have at first?

Dragon Fruits	Lemons	Tomatoes	Total
3x3	5x3		8x3
	2x5	1x5
9 p	10 p	5 p	24 p

The total number of lemons and tomatoes is repeated.  Make the total number of lemons and tomatoes the same. LCM of 5 and 3 is 15.

	Dragon Fruits	Lemons	Tomatoes
Number	3 u	1 u	5 u
Value	$1.90	$1.10	$1.30
Total value	5.7 u	1.1 u	6.5 u

Total amount that Wendy earned
= 5.7 u + 1.1 u + 6.5 u
= 13.3 u

13.3 u = 239.40
 
1 u = 239.40 ÷ 13.3 = 18

Total number of fruits sold
= 3 u + 1 u + 5 u
= 9 u
= 9 x 18
= 162

Total number of fruits at first
= 162 ÷ ¹₈
= 162 x 8
= 1296

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

24 p = 1296

1 p = 1296 ÷ 24 = 54

Number of dragon fruits that Wendy had at first
= 9 p
= 9 x 54
= 486

Answer(s): 486