A fruit vendor ordered some fruits. 30% of the fruits he ordered were peaches and the rest were guavas. Each peach cost $1.50 and each guava cost 40% more than each peach. The vendor paid a total of $384.
- Find the total cost of the peaches.
- How many guavas did he order?
(a)
|
Peaches |
Guavas |
Numbers |
3 u |
7 u |
Price |
$1.50 |
$2.10 |
Total value |
4.5 u |
14.7 u |
30% =
30100 =
310Number of peaches = 3 u
Number of guavas = 10 u - 3 u = 7 u
Price of each peach in percent = 100%
Price of each guava in percent = 100% + 40% = 140%
Price of each guava
= 1.50 x 140%
= 1.50 x
140100 = $2.10
4.5 u + 14.7 u = 384
19.2 u = 384
1 u = 384 ÷ 19.2 = 20
Cost of the peaches
= 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