A fruit vendor ordered some fruits. 45% of the fruits he ordered were passion fruits and the rest were mangosteens. Each passion fruit cost $2.50 and each mangosteen cost 40% more than each passion fruit. The vendor paid a total of $915.

1. Find the total cost of the passion fruits.
2. How many mangosteens did he order?

(a)

	Passion Fruits	Mangosteens
Numbers	9 u	11 u
Price	$2.50	$3.50
Total value	22.5 u	38.5 u

45% = ⁴⁵₁₀₀ = ⁹₂₀

Number of passion fruits = 9 u
Number of mangosteens = 20 u - 9 u = 11 u

Price of each passion fruit in percent = 100%
Price of each mangosteen in percent = 100% + 40% = 140%

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

22.5 u + 38.5 u = 915
61 u = 915
1 u = 915 ÷ 61 = 15

Cost of the passion fruits
= 9 u x 2.50
= 9 x 15 x 2.50
= $337.5

(b)
Number of mangosteens ordered
= 11 u
= 11 x 15
= 165

Answer(s): (a) $337.5; (b) 165