A fruit vendor ordered some fruits. 40% of the fruits he ordered were passion fruits and the rest were pears. Each passion fruit cost $1.50 and each pear cost 20% more than each passion fruit. The vendor paid a total of $252.
- Find the total cost of the passion fruits.
- How many pears did he order?
(a)
| |
Passion Fruits |
Pears |
| Numbers |
2 u |
3 u |
| Price |
$1.50 |
$1.80 |
| Total value |
3 u |
5.4 u |
40% =
40100 =
25Number of passion fruits = 2 u
Number of pears = 5 u - 2 u = 3 u
Price of each passion fruit in percent = 100%
Price of each pear in percent = 100% + 20% = 120%
Price of each pear
= 1.50 x 120%
= 1.50 x
120100 = $1.80
3 u + 5.4 u = 252
8.4 u = 252
1 u = 252 ÷ 8.4 = 30
Cost of the passion fruits
= 2 u x 1.50
= 2 x 30 x 1.50
= $90
(b)
Number of pears ordered
= 3 u
= 3 x 30
= 90
Answer(s): (a) $90; (b) 90
