Hilda had some fruits at her stall. ¹₃ of them were pomegranates, ¹₅ of the remainder were kiwis and the rest were tomatoes. The amounts earned for each pomegranate, each kiwi and each tomato sold are $1.40, $1.70 and $1.30 respectively. The number of pomegranates sold to the number of kiwis sold to the number of tomatoes sold was 1 : 3 : 1. In total, she sold ¹₅ of the fruits and earned $140.40. How many pomegranates did she have at first?

Pomegranates	Kiwis	Tomatoes	Total
1x5	2x5		3x5
	1x2	4x2
5 p	2 p	8 p	15 p

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

	Pomegranates	Kiwis	Tomatoes
Number	1 u	3 u	1 u
Value	$1.40	$1.70	$1.30
Total value	1.4 u	5.1 u	1.3 u

Total amount that Hilda earned
= 1.4 u + 5.1 u + 1.3 u
= 7.8 u

7.8 u = 140.40
 
1 u = 140.40 ÷ 7.8 = 18

Total number of fruits sold
= 1 u + 3 u + 1 u
= 5 u
= 5 x 18
= 90

Total number of fruits at first
= 90 ÷ ¹₅
= 90 x 5
= 450

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

15 p = 450

1 p = 450 ÷ 15 = 30

Number of pomegranates that Hilda had at first
= 5 p
= 5 x 30
= 150

Answer(s): 150