Tiffany had some fruits at her stall. ³₈ of them were avocados, ¹₄ of the remainder were apricots and the rest were dragon fruits. The amounts earned for each avocado, each apricot and each dragon fruit sold are $1.90, $1.80 and $1.70 respectively. The number of avocados sold to the number of apricots sold to the number of dragon fruits sold was 4 : 1 : 1. In total, she sold ¹₁₆ of the fruits and earned $99.90. How many dragon fruits did she have at first?

Avocados	Apricots	Dragon Fruits	Total
3x4	5x4		8x4
	1x5	3x5
12 p	5 p	15 p	32 p

The total number of apricots and dragon fruits is repeated.  Make the total number of apricots and dragon fruits the same. LCM of 5 and 4 is 20.

	Avocados	Apricots	Dragon Fruits
Number	4 u	1 u	1 u
Value	$1.90	$1.80	$1.70
Total value	7.6 u	1.8 u	1.7 u

Total amount that Tiffany earned
= 7.6 u + 1.8 u + 1.7 u
= 11.1 u

11.1 u = 99.90
 
1 u = 99.90 ÷ 11.1 = 9

Total number of fruits sold
= 4 u + 1 u + 1 u
= 6 u
= 6 x 9
= 54

Total number of fruits at first
= 54 ÷ ¹₁₆
= 54 x 16
= 864

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

32 p = 864

1 p = 864 ÷ 32 = 27

Number of dragon fruits that Tiffany had at first
= 15 p
= 15 x 27
= 405

Answer(s): 405