A fruit vendor ordered some fruits. 45% of the fruits he ordered were peaches and the rest were mangosteens. Each peach cost $2.40 and each mangosteen cost 50% more than each peach. The vendor paid a total of $306.
- Find the total cost of the peaches.
- How many mangosteens did he order?
(a)
|
Peaches |
Mangosteens |
Numbers |
9 u |
11 u |
Price |
$2.40 |
$3.60 |
Total value |
21.6 u |
39.6 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% + 50% = 150%
Price of each mangosteen
= 2.40 x 150%
= 2.40 x
150100 = $3.60
21.6 u + 39.6 u = 306
61.2 u = 306
1 u = 306 ÷ 61.2 = 5
Cost of the peaches
= 9 u x 2.40
= 9 x 5 x 2.40
= $108
(b)
Number of mangosteens ordered
= 11 u
= 11 x 5
= 55
Answer(s): (a) $108; (b) 55