A fruit vendor ordered some fruits. 35% of the fruits he ordered were mangosteens and the rest were persimmons. Each mangosteen cost $2.50 and each persimmon cost 40% more than each mangosteen. The vendor paid a total of $1386.
- Find the total cost of the mangosteens.
- How many persimmons did he order?
(a)
| |
Mangosteens |
Persimmons |
| 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 persimmons = 20 u - 7 u = 13 u
Price of each mangosteen in percent = 100%
Price of each persimmon in percent = 100% + 40% = 140%
Price of each persimmon
= 2.50 x 140%
= 2.50 x
140100 = $3.50
17.5 u + 45.5 u = 1386
63 u = 1386
1 u = 1386 ÷ 63 = 22
Cost of the mangosteens
= 7 u x 2.50
= 7 x 22 x 2.50
= $385
(b)
Number of persimmons ordered
= 13 u
= 13 x 22
= 286
Answer(s): (a) $385; (b) 286
