Olivia had some fruits at her stall. ³₈ of them were coconuts, ²₃ of the remainder were kiwis and the rest were mangosteens. The amounts earned for each coconut, each kiwi and each mangosteen sold are $1.40, $1.70 and $1.90 respectively. The number of coconuts sold to the number of kiwis sold to the number of mangosteens sold was 1 : 4 : 1. In total, she sold ¹₈ of the fruits and earned $70.70. How many mangosteens did she have at first?

Coconuts	Kiwis	Mangosteens	Total
3x3	5x3		8x3
	2x5	1x5
9 p	10 p	5 p	24 p

The total number of kiwis and mangosteens is repeated.  Make the total number of kiwis and mangosteens the same. LCM of 5 and 3 is 15.

	Coconuts	Kiwis	Mangosteens
Number	1 u	4 u	1 u
Value	$1.40	$1.70	$1.90
Total value	1.4 u	6.8 u	1.9 u

Total amount that Olivia earned
= 1.4 u + 6.8 u + 1.9 u
= 10.1 u

10.1 u = 70.70
 
1 u = 70.70 ÷ 10.1 = 7

Total number of fruits sold
= 1 u + 4 u + 1 u
= 6 u
= 6 x 7
= 42

Total number of fruits at first
= 42 ÷ ¹₈
= 42 x 8
= 336

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

24 p = 336

1 p = 336 ÷ 24 = 14

Number of mangosteens that Olivia had at first
= 5 p
= 5 x 14
= 70

Answer(s): 70