A fruit vendor ordered some fruits. 30% of the fruits he ordered were starfruits and the rest were pomegranates. Each starfruit cost $2.60 and each pomegranate cost 50% more than each starfruit. The vendor paid a total of $1053.

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

(a)

	Starfruits	Pomegranates
Numbers	3 u	7 u
Price	$2.60	$3.90
Total value	7.8 u	27.3 u

30% = ³⁰₁₀₀ = ³₁₀

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

Price of each starfruit in percent = 100%
Price of each pomegranate in percent = 100% + 50% = 150%

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

7.8 u + 27.3 u = 1053
35.1 u = 1053
1 u = 1053 ÷ 35.1 = 30

Cost of the starfruits
= 3 u x 2.60
= 3 x 30 x 2.60
= $234

(b)
Number of pomegranates ordered
= 7 u
= 7 x 30
= 210

Answer(s): (a) $234; (b) 210