A fruit vendor ordered some fruits. 45% of the fruits he ordered were persimmons and the rest were pomegranates. Each persimmon cost $1.50 and each pomegranate cost 40% more than each persimmon. The vendor paid a total of $366.

1. Find the total cost of the persimmons.
2. How many pomegranates did he order?

(a)

	Persimmons	Pomegranates
Numbers	9 u	11 u
Price	$1.50	$2.10
Total value	13.5 u	23.1 u

45% = ⁴⁵₁₀₀ = ⁹₂₀

Number of persimmons = 9 u
Number of pomegranates = 20 u - 9 u = 11 u

Price of each persimmon in percent = 100%
Price of each pomegranate in percent = 100% + 40% = 140%

Price of each pomegranate
= 1.50 x 140%
= 1.50 x ¹⁴⁰₁₀₀
= $2.10

13.5 u + 23.1 u = 366
36.6 u = 366
1 u = 366 ÷ 36.6 = 10

Cost of the persimmons
= 9 u x 1.50
= 9 x 10 x 1.50
= $135

(b)
Number of pomegranates ordered
= 11 u
= 11 x 10
= 110

Answer(s): (a) $135; (b) 110