A fruit vendor ordered some fruits. 40% of the fruits he ordered were persimmons and the rest were guavas. Each persimmon cost $1.50 and each guava cost 20% more than each persimmon. The vendor paid a total of $168.
- Find the total cost of the persimmons.
- How many guavas did he order?
(a)
|
Persimmons |
Guavas |
Numbers |
2 u |
3 u |
Price |
$1.50 |
$1.80 |
Total value |
3 u |
5.4 u |
40% =
40100 =
25Number of persimmons = 2 u
Number of guavas = 5 u - 2 u = 3 u
Price of each persimmon in percent = 100%
Price of each guava in percent = 100% + 20% = 120%
Price of each guava
= 1.50 x 120%
= 1.50 x
120100 = $1.80
3 u + 5.4 u = 168
8.4 u = 168
1 u = 168 ÷ 8.4 = 20
Cost of the persimmons
= 2 u x 1.50
= 2 x 20 x 1.50
= $60
(b)
Number of guavas ordered
= 3 u
= 3 x 20
= 60
Answer(s): (a) $60; (b) 60