A fruit vendor ordered some fruits. 30% of the fruits he ordered were passion fruits and the rest were pomegranates. Each passion fruit cost $2.50 and each pomegranate cost 40% more than each passion fruit. The vendor paid a total of $736.
- Find the total cost of the passion fruits.
- How many pomegranates did he order?
(a)
|
Passion Fruits |
Pomegranates |
Numbers |
3 u |
7 u |
Price |
$2.50 |
$3.50 |
Total value |
7.5 u |
24.5 u |
30% =
30100 =
310Number of passion fruits = 3 u
Number of pomegranates = 10 u - 3 u = 7 u
Price of each passion fruit in percent = 100%
Price of each pomegranate in percent = 100% + 40% = 140%
Price of each pomegranate
= 2.50 x 140%
= 2.50 x
140100 = $3.50
7.5 u + 24.5 u = 736
32 u = 736
1 u = 736 ÷ 32 = 23
Cost of the passion fruits
= 3 u x 2.50
= 3 x 23 x 2.50
= $172.5
(b)
Number of pomegranates ordered
= 7 u
= 7 x 23
= 161
Answer(s): (a) $172.5; (b) 161