A fruit vendor ordered some fruits. 25% of the fruits he ordered were pomegranates and the rest were persimmons. Each pomegranate cost $1.40 and each persimmon cost 50% more than each pomegranate. The vendor paid a total of $231.
- Find the total cost of the pomegranates.
- How many persimmons did he order?
(a)
|
Pomegranates |
Persimmons |
Numbers |
1 u |
3 u |
Price |
$1.40 |
$2.10 |
Total value |
1.4 u |
6.3 u |
25% =
25100 =
14Number of pomegranates = 1 u
Number of persimmons = 4 u - 1 u = 3 u
Price of each pomegranate in percent = 100%
Price of each persimmon in percent = 100% + 50% = 150%
Price of each persimmon
= 1.40 x 150%
= 1.40 x
150100 = $2.10
1.4 u + 6.3 u = 231
7.7 u = 231
1 u = 231 ÷ 7.7 = 30
Cost of the pomegranates
= 1 u x 1.40
= 1 x 30 x 1.40
= $42
(b)
Number of persimmons ordered
= 3 u
= 3 x 30
= 90
Answer(s): (a) $42; (b) 90