A fruit vendor ordered some fruits. 40% of the fruits he ordered were pomegranates and the rest were peaches. Each pomegranate cost $1.60 and each peach cost 50% more than each pomegranate. The vendor paid a total of $312.
- Find the total cost of the pomegranates.
- How many peaches did he order?
(a)
| |
Pomegranates |
Peaches |
| Numbers |
2 u |
3 u |
| Price |
$1.60 |
$2.40 |
| Total value |
3.2 u |
7.2 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% + 50% = 150%
Price of each peach
= 1.60 x 150%
= 1.60 x
150100 = $2.40
3.2 u + 7.2 u = 312
10.4 u = 312
1 u = 312 ÷ 10.4 = 30
Cost of the pomegranates
= 2 u x 1.60
= 2 x 30 x 1.60
= $96
(b)
Number of peaches ordered
= 3 u
= 3 x 30
= 90
Answer(s): (a) $96; (b) 90
