Yen had some fruits at her stall. ³₈ of them were mandarin oranges, ¹₃ of the remainder were avocados and the rest were oranges. The amounts earned for each mandarin orange, each avocado and each orange sold are $1.50, $1.10 and $1.40 respectively. The number of mandarin oranges sold to the number of avocados sold to the number of oranges sold was 1 : 3 : 4. In total, she sold ¹₈ of the fruits and earned $124.80. How many oranges did she have at first?

Mandarin Oranges	Avocados	Oranges	Total
3x3	5x3		8x3
	1x5	2x5
9 p	5 p	10 p	24 p

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

	Mandarin Oranges	Avocados	Oranges
Number	1 u	3 u	4 u
Value	$1.50	$1.10	$1.40
Total value	1.5 u	3.3 u	5.6 u

Total amount that Yen earned
= 1.5 u + 3.3 u + 5.6 u
= 10.4 u

10.4 u = 124.80
 
1 u = 124.80 ÷ 10.4 = 12

Total number of fruits sold
= 1 u + 3 u + 4 u
= 8 u
= 8 x 12
= 96

Total number of fruits at first
= 96 ÷ ¹₈
= 96 x 8
= 768

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

24 p = 768

1 p = 768 ÷ 24 = 32

Number of oranges that Yen had at first
= 10 p
= 10 x 32
= 320

Answer(s): 320