A fruit vendor ordered some fruits. 35% of the fruits he ordered were mangosteens and the rest were pears. Each mangosteen cost $2.50 and each pear cost 40% more than each mangosteen. The vendor paid a total of $1449.
- Find the total cost of the mangosteens.
- How many pears did he order?
(a)
| |
Mangosteens |
Pears |
| Numbers |
7 u |
13 u |
| Price |
$2.50 |
$3.50 |
| Total value |
17.5 u |
45.5 u |
35% =
35100 =
720Number of mangosteens = 7 u
Number of pears = 20 u - 7 u = 13 u
Price of each mangosteen in percent = 100%
Price of each pear in percent = 100% + 40% = 140%
Price of each pear
= 2.50 x 140%
= 2.50 x
140100 = $3.50
17.5 u + 45.5 u = 1449
63 u = 1449
1 u = 1449 ÷ 63 = 23
Cost of the mangosteens
= 7 u x 2.50
= 7 x 23 x 2.50
= $402.5
(b)
Number of pears ordered
= 13 u
= 13 x 23
= 299
Answer(s): (a) $402.5; (b) 299
