A fruit vendor ordered some fruits. 30% of the fruits he ordered were dragonfruits and the rest were pomegranates. Each dragonfruit cost $2.50 and each pomegranate cost 40% more than each dragonfruit. The vendor paid a total of $416.

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

(a)

	Dragonfruits	Pomegranates
Numbers	3 u	7 u
Price	$2.50	$3.50
Total value	7.5 u	24.5 u

30% = ³⁰₁₀₀ = ³₁₀

Number of dragonfruits = 3 u
Number of pomegranates = 10 u - 3 u = 7 u

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

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

7.5 u + 24.5 u = 416
32 u = 416
1 u = 416 ÷ 32 = 13

Cost of the dragonfruits
= 3 u x 2.50
= 3 x 13 x 2.50
= $97.5

(b)
Number of pomegranates ordered
= 7 u
= 7 x 13
= 91

Answer(s): (a) $97.5; (b) 91