A fruit vendor ordered some fruits. 35% of the fruits he ordered were mangoes and the rest were mangosteens. Each mango cost $2.50 and each mangosteen cost 40% more than each mango. The vendor paid a total of $1827.
- Find the total cost of the mangoes.
- How many mangosteens did he order?
(a)
|
Mangoes |
Mangosteens |
Numbers |
7 u |
13 u |
Price |
$2.50 |
$3.50 |
Total value |
17.5 u |
45.5 u |
35% =
35100 =
720Number of mangoes = 7 u
Number of mangosteens = 20 u - 7 u = 13 u
Price of each mango 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
17.5 u + 45.5 u = 1827
63 u = 1827
1 u = 1827 ÷ 63 = 29
Cost of the mangoes
= 7 u x 2.50
= 7 x 29 x 2.50
= $507.5
(b)
Number of mangosteens ordered
= 13 u
= 13 x 29
= 377
Answer(s): (a) $507.5; (b) 377