A fruit vendor ordered some fruits. 30% of the fruits he ordered were passion fruits and the rest were mangosteens. Each passion fruit cost $2.60 and each mangosteen cost 50% more than each passion fruit. The vendor paid a total of $351.

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

(a)

	Passion Fruits	Mangosteens
Numbers	3 u	7 u
Price	$2.60	$3.90
Total value	7.8 u	27.3 u

30% = ³⁰₁₀₀ = ³₁₀

Number of passion fruits = 3 u
Number of mangosteens = 10 u - 3 u = 7 u

Price of each passion fruit in percent = 100%
Price of each mangosteen in percent = 100% + 50% = 150%

Price of each mangosteen
= 2.60 x 150%
= 2.60 x ¹⁵⁰₁₀₀
= $3.90

7.8 u + 27.3 u = 351
35.1 u = 351
1 u = 351 ÷ 35.1 = 10

Cost of the passion fruits
= 3 u x 2.60
= 3 x 10 x 2.60
= $78

(b)
Number of mangosteens ordered
= 7 u
= 7 x 10
= 70

Answer(s): (a) $78; (b) 70