A fruit vendor ordered some fruits. 40% of the fruits he ordered were pomegranates and the rest were mangoes. Each pomegranate cost $1.50 and each mango cost 20% more than each pomegranate. The vendor paid a total of $84.
- Find the total cost of the pomegranates.
- How many mangoes did he order?
(a)
| |
Pomegranates |
Mangoes |
| Numbers |
2 u |
3 u |
| Price |
$1.50 |
$1.80 |
| Total value |
3 u |
5.4 u |
40% =
40100 =
25Number of pomegranates = 2 u
Number of mangoes = 5 u - 2 u = 3 u
Price of each pomegranate in percent = 100%
Price of each mango in percent = 100% + 20% = 120%
Price of each mango
= 1.50 x 120%
= 1.50 x
120100 = $1.80
3 u + 5.4 u = 84
8.4 u = 84
1 u = 84 ÷ 8.4 = 10
Cost of the pomegranates
= 2 u x 1.50
= 2 x 10 x 1.50
= $30
(b)
Number of mangoes ordered
= 3 u
= 3 x 10
= 30
Answer(s): (a) $30; (b) 30
