A fruit vendor ordered some fruits. 45% of the fruits he ordered were mangoes and the rest were pomegranates. Each mango cost $2.40 and each pomegranate cost 50% more than each mango. The vendor paid a total of $1224.
- Find the total cost of the mangoes.
- How many pomegranates did he order?
(a)
|
Mangoes |
Pomegranates |
Numbers |
9 u |
11 u |
Price |
$2.40 |
$3.60 |
Total value |
21.6 u |
39.6 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
= 2.40 x 150%
= 2.40 x
150100 = $3.60
21.6 u + 39.6 u = 1224
61.2 u = 1224
1 u = 1224 ÷ 61.2 = 20
Cost of the mangoes
= 9 u x 2.40
= 9 x 20 x 2.40
= $432
(b)
Number of pomegranates ordered
= 11 u
= 11 x 20
= 220
Answer(s): (a) $432; (b) 220