A fruit vendor ordered some fruits. 30% 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 $342.
- Find the total cost of the persimmons.
- How many guavas did he order?
(a)
|
Persimmons |
Guavas |
Numbers |
3 u |
7 u |
Price |
$1.50 |
$1.80 |
Total value |
4.5 u |
12.6 u |
30% =
30100 =
310Number of persimmons = 3 u
Number of guavas = 10 u - 3 u = 7 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
4.5 u + 12.6 u = 342
17.1 u = 342
1 u = 342 ÷ 17.1 = 20
Cost of the persimmons
= 3 u x 1.50
= 3 x 20 x 1.50
= $90
(b)
Number of guavas ordered
= 7 u
= 7 x 20
= 140
Answer(s): (a) $90; (b) 140