A fruit vendor ordered some fruits. 40% of the fruits he ordered were pomegranates and the rest were peaches. Each pomegranate cost $1.20 and each peach cost 25% more than each pomegranate. The vendor paid a total of $207.
- Find the total cost of the pomegranates.
- How many peaches did he order?
(a)
|
Pomegranates |
Peaches |
Numbers |
2 u |
3 u |
Price |
$1.20 |
$1.50 |
Total value |
2.4 u |
4.5 u |
40% =
40100 =
25Number of pomegranates = 2 u
Number of peaches = 5 u - 2 u = 3 u
Price of each pomegranate in percent = 100%
Price of each peach in percent = 100% + 25% = 125%
Price of each peach
= 1.20 x 125%
= 1.20 x
125100 = $1.50
2.4 u + 4.5 u = 207
6.9 u = 207
1 u = 207 ÷ 6.9 = 30
Cost of the pomegranates
= 2 u x 1.20
= 2 x 30 x 1.20
= $72
(b)
Number of peaches ordered
= 3 u
= 3 x 30
= 90
Answer(s): (a) $72; (b) 90