A fruit vendor ordered some fruits. 30% of the fruits he ordered were pomegranates and the rest were mangoes. Each pomegranate cost $1.50 and each mango cost 40% more than each pomegranate. The vendor paid a total of $192.
- Find the total cost of the pomegranates.
- How many mangoes did he order?
(a)
|
Pomegranates |
Mangoes |
Numbers |
3 u |
7 u |
Price |
$1.50 |
$2.10 |
Total value |
4.5 u |
14.7 u |
30% =
30100 =
310Number of pomegranates = 3 u
Number of mangoes = 10 u - 3 u = 7 u
Price of each pomegranate in percent = 100%
Price of each mango in percent = 100% + 40% = 140%
Price of each mango
= 1.50 x 140%
= 1.50 x
140100 = $2.10
4.5 u + 14.7 u = 192
19.2 u = 192
1 u = 192 ÷ 19.2 = 10
Cost of the pomegranates
= 3 u x 1.50
= 3 x 10 x 1.50
= $45
(b)
Number of mangoes ordered
= 7 u
= 7 x 10
= 70
Answer(s): (a) $45; (b) 70