A fruit vendor ordered some fruits. 35% of the fruits he ordered were lemons and the rest were persimmons. Each lemon cost $1.20 and each persimmon cost 50% more than each lemon. The vendor paid a total of $159.
- Find the total cost of the lemons.
- How many persimmons did he order?
(a)
|
Lemons |
Persimmons |
Numbers |
7 u |
13 u |
Price |
$1.20 |
$1.80 |
Total value |
8.4 u |
23.4 u |
35% =
35100 =
720Number of lemons = 7 u
Number of persimmons = 20 u - 7 u = 13 u
Price of each lemon in percent = 100%
Price of each persimmon in percent = 100% + 50% = 150%
Price of each persimmon
= 1.20 x 150%
= 1.20 x
150100 = $1.80
8.4 u + 23.4 u = 159
31.8 u = 159
1 u = 159 ÷ 31.8 = 5
Cost of the lemons
= 7 u x 1.20
= 7 x 5 x 1.20
= $42
(b)
Number of persimmons ordered
= 13 u
= 13 x 5
= 65
Answer(s): (a) $42; (b) 65