Linda had some fruits at her stall. ¹₃ of them were dragon fruits, ²₃ of the remainder were peaches and the rest were kiwis. The amounts earned for each dragon fruit, each peach and each kiwi sold are $1.30, $1.70 and $1.90 respectively. The number of dragon fruits sold to the number of peaches sold to the number of kiwis sold was 3 : 4 : 1. In total, she sold ¹₃ of the fruits and earned $37.80. How many kiwis did she have at first?

Dragon Fruits	Peaches	Kiwis	Total
1x3	2x3		3x3
	2x2	1x2
3 p	4 p	2 p	9 p

The total number of peaches and kiwis is repeated.  Make the total number of peaches and kiwis the same. LCM of 2 and 3 is 6.

	Dragon Fruits	Peaches	Kiwis
Number	3 u	4 u	1 u
Value	$1.30	$1.70	$1.90
Total value	3.9 u	6.8 u	1.9 u

Total amount that Linda earned
= 3.9 u + 6.8 u + 1.9 u
= 12.6 u

12.6 u = 37.80
 
1 u = 37.80 ÷ 12.6 = 3

Total number of fruits sold
= 3 u + 4 u + 1 u
= 8 u
= 8 x 3
= 24

Total number of fruits at first
= 24 ÷ ¹₃
= 24 x 3
= 72

Total number of fruits at first
= 3 p + 4 p + 2 p
= 9 p

9 p = 72

1 p = 72 ÷ 9 = 8

Number of kiwis that Linda had at first
= 2 p
= 2 x 8
= 16

Answer(s): 16