Roshel had some fruits at her stall. ³₈ of them were tomatoes, ¹₂ of the remainder were mangosteens and the rest were apples. The amounts earned for each tomato, each mangosteen and each apple sold are $1.70, $1.90 and $1.50 respectively. The number of tomatoes sold to the number of mangosteens sold to the number of apples sold was 1 : 4 : 1. In total, she sold ¹₄ of the fruits and earned $151.20. How many apples did she have at first?

Tomatoes	Mangosteens	Apples	Total
3x2	5x2		8x2
	1x5	1x5
6 p	5 p	5 p	16 p

The total number of mangosteens and apples is repeated.  Make the total number of mangosteens and apples the same. LCM of 5 and 2 is 10.

	Tomatoes	Mangosteens	Apples
Number	1 u	4 u	1 u
Value	$1.70	$1.90	$1.50
Total value	1.7 u	7.6 u	1.5 u

Total amount that Roshel earned
= 1.7 u + 7.6 u + 1.5 u
= 10.8 u

10.8 u = 151.20
 
1 u = 151.20 ÷ 10.8 = 14

Total number of fruits sold
= 1 u + 4 u + 1 u
= 6 u
= 6 x 14
= 84

Total number of fruits at first
= 84 ÷ ¹₄
= 84 x 4
= 336

Total number of fruits at first
= 6 p + 5 p + 5 p
= 16 p

16 p = 336

1 p = 336 ÷ 16 = 21

Number of apples that Roshel had at first
= 5 p
= 5 x 21
= 105

Answer(s): 105