A fruit vendor ordered some fruits. 45% of the fruits he ordered were mangoes and the rest were pomegranates. Each mango cost $1.60 and each pomegranate cost 50% more than each mango. The vendor paid a total of $1020.
- Find the total cost of the mangoes.
- How many pomegranates did he order?
(a)
|
Mangoes |
Pomegranates |
Numbers |
9 u |
11 u |
Price |
$1.60 |
$2.40 |
Total value |
14.4 u |
26.4 u |
45% =
45100 =
920Number of mangoes = 9 u
Number of pomegranates = 20 u - 9 u = 11 u
Price of each mango in percent = 100%
Price of each pomegranate in percent = 100% + 50% = 150%
Price of each pomegranate
= 1.60 x 150%
= 1.60 x
150100 = $2.40
14.4 u + 26.4 u = 1020
40.8 u = 1020
1 u = 1020 ÷ 40.8 = 25
Cost of the mangoes
= 9 u x 1.60
= 9 x 25 x 1.60
= $360
(b)
Number of pomegranates ordered
= 11 u
= 11 x 25
= 275
Answer(s): (a) $360; (b) 275