A fruit vendor ordered some fruits. 45% of the fruits he ordered were peaches and the rest were mangosteens. Each peach cost $2.50 and each mangosteen cost 40% more than each peach. The vendor paid a total of $610.
- Find the total cost of the peaches.
- How many mangosteens did he order?
(a)
|
Peaches |
Mangosteens |
Numbers |
9 u |
11 u |
Price |
$2.50 |
$3.50 |
Total value |
22.5 u |
38.5 u |
45% =
45100 =
920Number of peaches = 9 u
Number of mangosteens = 20 u - 9 u = 11 u
Price of each peach in percent = 100%
Price of each mangosteen in percent = 100% + 40% = 140%
Price of each mangosteen
= 2.50 x 140%
= 2.50 x
140100 = $3.50
22.5 u + 38.5 u = 610
61 u = 610
1 u = 610 ÷ 61 = 10
Cost of the peaches
= 9 u x 2.50
= 9 x 10 x 2.50
= $225
(b)
Number of mangosteens ordered
= 11 u
= 11 x 10
= 110
Answer(s): (a) $225; (b) 110