A fruit vendor ordered some fruits. 30% of the fruits he ordered were pears and the rest were guavas. Each pear cost $1.80 and each guava cost 50% more than each pear. The vendor paid a total of $729.
- Find the total cost of the pears.
- How many guavas did he order?
(a)
|
Pears |
Guavas |
Numbers |
3 u |
7 u |
Price |
$1.80 |
$2.70 |
Total value |
5.4 u |
18.9 u |
30% =
30100 =
310Number of pears = 3 u
Number of guavas = 10 u - 3 u = 7 u
Price of each pear in percent = 100%
Price of each guava in percent = 100% + 50% = 150%
Price of each guava
= 1.80 x 150%
= 1.80 x
150100 = $2.70
5.4 u + 18.9 u = 729
24.3 u = 729
1 u = 729 ÷ 24.3 = 30
Cost of the pears
= 3 u x 1.80
= 3 x 30 x 1.80
= $162
(b)
Number of guavas ordered
= 7 u
= 7 x 30
= 210
Answer(s): (a) $162; (b) 210