Kimberly had some fruits at her stall. ¹₃ of them were grapefruits, ¹₅ of the remainder were tomatoes and the rest were peaches. The amounts earned for each grapefruit, each tomato and each peach sold are $1.30, $1.50 and $1.10 respectively. The number of grapefruits sold to the number of tomatoes sold to the number of peaches sold was 1 : 3 : 5. In total, she sold ¹₅ of the fruits and earned $180.80. How many grapefruits did she have at first?

Grapefruits	Tomatoes	Peaches	Total
1x5	2x5		3x5
	1x2	4x2
5 p	2 p	8 p	15 p

The total number of tomatoes and peaches is repeated.  Make the total number of tomatoes and peaches the same. LCM of 2 and 5 is 10.

	Grapefruits	Tomatoes	Peaches
Number	1 u	3 u	5 u
Value	$1.30	$1.50	$1.10
Total value	1.3 u	4.5 u	5.5 u

Total amount that Kimberly earned
= 1.3 u + 4.5 u + 5.5 u
= 11.3 u

11.3 u = 180.80
 
1 u = 180.80 ÷ 11.3 = 16

Total number of fruits sold
= 1 u + 3 u + 5 u
= 9 u
= 9 x 16
= 144

Total number of fruits at first
= 144 ÷ ¹₅
= 144 x 5
= 720

Total number of fruits at first
= 5 p + 2 p + 8 p
= 15 p

15 p = 720

1 p = 720 ÷ 15 = 48

Number of grapefruits that Kimberly had at first
= 5 p
= 5 x 48
= 240

Answer(s): 240