Ivory had some fruits at her stall. ³₈ of them were peaches, ³₄ of the remainder were mandarin oranges and the rest were apples. The amounts earned for each peach, each mandarin orange and each apple sold are $1.50, $1.90 and $1.60 respectively. The number of peaches sold to the number of mandarin oranges sold to the number of apples sold was 3 : 4 : 3. In total, she sold ¹₁₆ of the fruits and earned $152.10. How many apples did she have at first?

Peaches	Mandarin Oranges	Apples	Total
3x4	5x4		8x4
	3x5	1x5
12 p	15 p	5 p	32 p

The total number of mandarin oranges and apples is repeated.  Make the total number of mandarin oranges and apples the same. LCM of 5 and 4 is 20.

	Peaches	Mandarin Oranges	Apples
Number	3 u	4 u	3 u
Value	$1.50	$1.90	$1.60
Total value	4.5 u	7.6 u	4.8 u

Total amount that Ivory earned
= 4.5 u + 7.6 u + 4.8 u
= 16.9 u

16.9 u = 152.10
 
1 u = 152.10 ÷ 16.9 = 9

Total number of fruits sold
= 3 u + 4 u + 3 u
= 10 u
= 10 x 9
= 90

Total number of fruits at first
= 90 ÷ ¹₁₆
= 90 x 16
= 1440

Total number of fruits at first
= 12 p + 15 p + 5 p
= 32 p

32 p = 1440

1 p = 1440 ÷ 32 = 45

Number of apples that Ivory had at first
= 5 p
= 5 x 45
= 225

Answer(s): 225