A fruit vendor ordered some fruits. 40% of the fruits he ordered were persimmons and the rest were passion fruits. Each persimmon cost $1.20 and each passion fruit cost 50% more than each persimmon. The vendor paid a total of $156.

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

(a)

	Persimmons	Passion Fruits
Numbers	2 u	3 u
Price	$1.20	$1.80
Total value	2.4 u	5.4 u

40% = ⁴⁰₁₀₀ = ²₅

Number of persimmons = 2 u
Number of passion fruits = 5 u - 2 u = 3 u

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

Price of each passion fruit
= 1.20 x 150%
= 1.20 x ¹⁵⁰₁₀₀
= $1.80

2.4 u + 5.4 u = 156
7.8 u = 156
1 u = 156 ÷ 7.8 = 20

Cost of the persimmons
= 2 u x 1.20
= 2 x 20 x 1.20
= $48

(b)
Number of passion fruits ordered
= 3 u
= 3 x 20
= 60

Answer(s): (a) $48; (b) 60