Dana had some fruits at her stall. ¹₃ of them were tomatoes, ²₃ of the remainder were avocados and the rest were kiwis. The amounts earned for each tomato, each avocado and each kiwi sold are $1.10, $1.60 and $1.30 respectively. The number of tomatoes sold to the number of avocados sold to the number of kiwis sold was 2 : 3 : 4. In total, she sold ¹₃ of the fruits and earned $85.40. How many tomatoes did she have at first?

Tomatoes	Avocados	Kiwis	Total
1x3	2x3		3x3
	2x2	1x2
3 p	4 p	2 p	9 p

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

	Tomatoes	Avocados	Kiwis
Number	2 u	3 u	4 u
Value	$1.10	$1.60	$1.30
Total value	2.2 u	4.8 u	5.2 u

Total amount that Dana earned
= 2.2 u + 4.8 u + 5.2 u
= 12.2 u

12.2 u = 85.40
 
1 u = 85.40 ÷ 12.2 = 7

Total number of fruits sold
= 2 u + 3 u + 4 u
= 9 u
= 9 x 7
= 63

Total number of fruits at first
= 63 ÷ ¹₃
= 63 x 3
= 189

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

9 p = 189

1 p = 189 ÷ 9 = 21

Number of tomatoes that Dana had at first
= 3 p
= 3 x 21
= 63

Answer(s): 63