Jen had some fruits at her stall. ³₈ of them were apples, ²₃ of the remainder were lemons and the rest were dragon fruits. The amounts earned for each apple, each lemon and each dragon fruit sold are $1.80, $1.70 and $1.30 respectively. The number of apples sold to the number of lemons sold to the number of dragon fruits sold was 1 : 2 : 2. In total, she sold ¹₁₂ of the fruits and earned $46.80. How many dragon fruits did she have at first?

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

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

	Apples	Lemons	Dragon Fruits
Number	1 u	2 u	2 u
Value	$1.80	$1.70	$1.30
Total value	1.8 u	3.4 u	2.6 u

Total amount that Jen earned
= 1.8 u + 3.4 u + 2.6 u
= 7.8 u

7.8 u = 46.80
 
1 u = 46.80 ÷ 7.8 = 6

Total number of fruits sold
= 1 u + 2 u + 2 u
= 5 u
= 5 x 6
= 30

Total number of fruits at first
= 30 ÷ ¹₁₂
= 30 x 12
= 360

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

24 p = 360

1 p = 360 ÷ 24 = 15

Number of dragon fruits that Jen had at first
= 5 p
= 5 x 15
= 75

Answer(s): 75