Risa had some fruits at her stall. ³₈ of them were coconuts, ¹₃ of the remainder were guavas and the rest were apricots. The amounts earned for each coconut, each guava and each apricot sold are $1.90, $1.40 and $1.30 respectively. The number of coconuts sold to the number of guavas sold to the number of apricots sold was 3 : 1 : 1. In total, she sold ¹₁₂ of the fruits and earned $33.60. How many apricots did she have at first?

Coconuts	Guavas	Apricots	Total
3x3	5x3		8x3
	1x5	2x5
9 p	5 p	10 p	24 p

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

	Coconuts	Guavas	Apricots
Number	3 u	1 u	1 u
Value	$1.90	$1.40	$1.30
Total value	5.7 u	1.4 u	1.3 u

Total amount that Risa earned
= 5.7 u + 1.4 u + 1.3 u
= 8.4 u

8.4 u = 33.60
 
1 u = 33.60 ÷ 8.4 = 4

Total number of fruits sold
= 3 u + 1 u + 1 u
= 5 u
= 5 x 4
= 20

Total number of fruits at first
= 20 ÷ ¹₁₂
= 20 x 12
= 240

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

24 p = 240

1 p = 240 ÷ 24 = 10

Number of apricots that Risa had at first
= 10 p
= 10 x 10
= 100

Answer(s): 100