A fruit vendor ordered some fruits. 45% of the fruits he ordered were persimmons and the rest were dragonfruits. Each persimmon cost $2.50 and each dragonfruit cost 40% more than each persimmon. The vendor paid a total of $1525.

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

(a)

	Persimmons	Dragonfruits
Numbers	9 u	11 u
Price	$2.50	$3.50
Total value	22.5 u	38.5 u

45% = ⁴⁵₁₀₀ = ⁹₂₀

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

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

Price of each dragonfruit
= 2.50 x 140%
= 2.50 x ¹⁴⁰₁₀₀
= $3.50

22.5 u + 38.5 u = 1525
61 u = 1525
1 u = 1525 ÷ 61 = 25

Cost of the persimmons
= 9 u x 2.50
= 9 x 25 x 2.50
= $562.5

(b)
Number of dragonfruits ordered
= 11 u
= 11 x 25
= 275

Answer(s): (a) $562.5; (b) 275