A fruit vendor ordered some fruits. 40% of the fruits he ordered were guavas and the rest were mangosteens. Each guava cost $1.20 and each mangosteen cost 50% more than each guava. The vendor paid a total of $195.
- Find the total cost of the guavas.
- How many mangosteens did he order?
(a)
| |
Guavas |
Mangosteens |
| Numbers |
2 u |
3 u |
| Price |
$1.20 |
$1.80 |
| Total value |
2.4 u |
5.4 u |
40% =
40100 =
25Number of guavas = 2 u
Number of mangosteens = 5 u - 2 u = 3 u
Price of each guava in percent = 100%
Price of each mangosteen in percent = 100% + 50% = 150%
Price of each mangosteen
= 1.20 x 150%
= 1.20 x
150100 = $1.80
2.4 u + 5.4 u = 195
7.8 u = 195
1 u = 195 ÷ 7.8 = 25
Cost of the guavas
= 2 u x 1.20
= 2 x 25 x 1.20
= $60
(b)
Number of mangosteens ordered
= 3 u
= 3 x 25
= 75
Answer(s): (a) $60; (b) 75
