A fruit vendor ordered some fruits. 30% of the fruits he ordered were pomegranates and the rest were guavas. Each pomegranate cost $2.50 and each guava cost 40% more than each pomegranate. The vendor paid a total of $384.
- Find the total cost of the pomegranates.
- How many guavas did he order?
(a)
| |
Pomegranates |
Guavas |
| Numbers |
3 u |
7 u |
| Price |
$2.50 |
$3.50 |
| Total value |
7.5 u |
24.5 u |
30% =
30100 =
310Number of pomegranates = 3 u
Number of guavas = 10 u - 3 u = 7 u
Price of each pomegranate in percent = 100%
Price of each guava in percent = 100% + 40% = 140%
Price of each guava
= 2.50 x 140%
= 2.50 x
140100 = $3.50
7.5 u + 24.5 u = 384
32 u = 384
1 u = 384 ÷ 32 = 12
Cost of the pomegranates
= 3 u x 2.50
= 3 x 12 x 2.50
= $90
(b)
Number of guavas ordered
= 7 u
= 7 x 12
= 84
Answer(s): (a) $90; (b) 84
