A fruit vendor ordered some fruits. 45% of the fruits he ordered were pomegranates and the rest were dragonfruits. Each pomegranate cost $1.50 and each dragonfruit cost 40% more than each pomegranate. The vendor paid a total of $1098.

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

(a)

	Pomegranates	Dragonfruits
Numbers	9 u	11 u
Price	$1.50	$2.10
Total value	13.5 u	23.1 u

45% = ⁴⁵₁₀₀ = ⁹₂₀

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

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

Price of each dragonfruit
= 1.50 x 140%
= 1.50 x ¹⁴⁰₁₀₀
= $2.10

13.5 u + 23.1 u = 1098
36.6 u = 1098
1 u = 1098 ÷ 36.6 = 30

Cost of the pomegranates
= 9 u x 1.50
= 9 x 30 x 1.50
= $405

(b)
Number of dragonfruits ordered
= 11 u
= 11 x 30
= 330

Answer(s): (a) $405; (b) 330