Julie had some fruits at her stall. ³₈ of them were kiwis, ²₃ of the remainder were oranges and the rest were lemons. The amounts earned for each kiwi, each orange and each lemon sold are $1.60, $1.40 and $1.30 respectively. The number of kiwis sold to the number of oranges sold to the number of lemons sold was 3 : 2 : 1. In total, she sold ¹₈ of the fruits and earned $80.10. How many kiwis did she have at first?

Kiwis	Oranges	Lemons	Total
3x3	5x3		8x3
	2x5	1x5
9 p	10 p	5 p	24 p

The total number of oranges and lemons is repeated.  Make the total number of oranges and lemons the same. LCM of 5 and 3 is 15.

	Kiwis	Oranges	Lemons
Number	3 u	2 u	1 u
Value	$1.60	$1.40	$1.30
Total value	4.8 u	2.8 u	1.3 u

Total amount that Julie earned
= 4.8 u + 2.8 u + 1.3 u
= 8.9 u

8.9 u = 80.10
 
1 u = 80.10 ÷ 8.9 = 9

Total number of fruits sold
= 3 u + 2 u + 1 u
= 6 u
= 6 x 9
= 54

Total number of fruits at first
= 54 ÷ ¹₈
= 54 x 8
= 432

Total number of fruits at first
= 9 p + 10 p + 5 p
= 24 p

24 p = 432

1 p = 432 ÷ 24 = 18

Number of kiwis that Julie had at first
= 9 p
= 9 x 18
= 162

Answer(s): 162