A fruit vendor ordered some fruits. 45% of the fruits he ordered were dragonfruits and the rest were grapefruits. Each dragonfruit cost $1.50 and each grapefruit cost 20% more than each dragonfruit. The vendor paid a total of $333.

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

(a)

	Dragonfruits	Grapefruits
Numbers	9 u	11 u
Price	$1.50	$1.80
Total value	13.5 u	19.8 u

45% = ⁴⁵₁₀₀ = ⁹₂₀

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

Price of each dragonfruit in percent = 100%
Price of each grapefruit in percent = 100% + 20% = 120%

Price of each grapefruit
= 1.50 x 120%
= 1.50 x ¹²⁰₁₀₀
= $1.80

13.5 u + 19.8 u = 333
33.3 u = 333
1 u = 333 ÷ 33.3 = 10

Cost of the dragonfruits
= 9 u x 1.50
= 9 x 10 x 1.50
= $135

(b)
Number of grapefruits ordered
= 11 u
= 11 x 10
= 110

Answer(s): (a) $135; (b) 110