Joelle had some fruits at her stall. ³₈ of them were dragon fruits, ²₃ of the remainder were apricots and the rest were plums. The amounts earned for each dragon fruit, each apricot and each plum sold are $1.30, $1.10 and $1.60 respectively. The number of dragon fruits sold to the number of apricots sold to the number of plums sold was 4 : 4 : 1. In total, she sold ¹₈ of the fruits and earned $89.60. How many plums did she have at first?

Dragon Fruits	Apricots	Plums	Total
3x3	5x3		8x3
	2x5	1x5
9 p	10 p	5 p	24 p

The total number of apricots and plums is repeated.  Make the total number of apricots and plums the same. LCM of 5 and 3 is 15.

	Dragon Fruits	Apricots	Plums
Number	4 u	4 u	1 u
Value	$1.30	$1.10	$1.60
Total value	5.2 u	4.4 u	1.6 u

Total amount that Joelle earned
= 5.2 u + 4.4 u + 1.6 u
= 11.2 u

11.2 u = 89.60
 
1 u = 89.60 ÷ 11.2 = 8

Total number of fruits sold
= 4 u + 4 u + 1 u
= 9 u
= 9 x 8
= 72

Total number of fruits at first
= 72 ÷ ¹₈
= 72 x 8
= 576

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

24 p = 576

1 p = 576 ÷ 24 = 24

Number of plums that Joelle had at first
= 5 p
= 5 x 24
= 120

Answer(s): 120