Gabby had some fruits at her stall. ¹₃ of them were mandarin oranges, ³₄ of the remainder were tomatoes and the rest were kiwis. The amounts earned for each mandarin orange, each tomato and each kiwi sold are $1.10, $1.60 and $1.20 respectively. The number of mandarin oranges sold to the number of tomatoes sold to the number of kiwis sold was 5 : 1 : 3. In total, she sold ¹₂ of the fruits and earned $42.80. How many mandarin oranges did she have at first?

Mandarin Oranges	Tomatoes	Kiwis	Total
1x2	2x2		3x2
	3x1	1x1
2 p	3 p	1 p	6 p

The total number of tomatoes and kiwis is repeated.  Make the total number of tomatoes and kiwis the same. LCM of 2 and 4 is 4.

	Mandarin Oranges	Tomatoes	Kiwis
Number	5 u	1 u	3 u
Value	$1.10	$1.60	$1.20
Total value	5.5 u	1.6 u	3.6 u

Total amount that Gabby earned
= 5.5 u + 1.6 u + 3.6 u
= 10.7 u

10.7 u = 42.80
 
1 u = 42.80 ÷ 10.7 = 4

Total number of fruits sold
= 5 u + 1 u + 3 u
= 9 u
= 9 x 4
= 36

Total number of fruits at first
= 36 ÷ ¹₂
= 36 x 2
= 72

Total number of fruits at first
= 2 p + 3 p + 1 p
= 6 p

6 p = 72

1 p = 72 ÷ 6 = 12

Number of mandarin oranges that Gabby had at first
= 2 p
= 2 x 12
= 24

Answer(s): 24