Tina had some fruits at her stall. ³₈ of them were dates, ³₄ of the remainder were peaches and the rest were pears. The amounts earned for each date, each peach and each pear sold are $1.60, $1.90 and $1.50 respectively. The number of dates sold to the number of peaches sold to the number of pears sold was 1 : 2 : 1. In total, she sold ¹₁₆ of the fruits and earned $96.60. How many pears did she have at first?

Dates	Peaches	Pears	Total
3x4	5x4		8x4
	3x5	1x5
12 p	15 p	5 p	32 p

The total number of peaches and pears is repeated.  Make the total number of peaches and pears the same. LCM of 5 and 4 is 20.

	Dates	Peaches	Pears
Number	1 u	2 u	1 u
Value	$1.60	$1.90	$1.50
Total value	1.6 u	3.8 u	1.5 u

Total amount that Tina earned
= 1.6 u + 3.8 u + 1.5 u
= 6.9 u

6.9 u = 96.60
 
1 u = 96.60 ÷ 6.9 = 14

Total number of fruits sold
= 1 u + 2 u + 1 u
= 4 u
= 4 x 14
= 56

Total number of fruits at first
= 56 ÷ ¹₁₆
= 56 x 16
= 896

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

32 p = 896

1 p = 896 ÷ 32 = 28

Number of pears that Tina had at first
= 5 p
= 5 x 28
= 140

Answer(s): 140