A fruit vendor ordered some fruits. 45% of the fruits he ordered were pears and the rest were passion fruits. Each pear cost $1.20 and each passion fruit cost 50% more than each pear. The vendor paid a total of $153.
- Find the total cost of the pears.
- How many passion fruits did he order?
(a)
|
Pears |
Passion Fruits |
Numbers |
9 u |
11 u |
Price |
$1.20 |
$1.80 |
Total value |
10.8 u |
19.8 u |
45% =
45100 =
920Number of pears = 9 u
Number of passion fruits = 20 u - 9 u = 11 u
Price of each pear in percent = 100%
Price of each passion fruit in percent = 100% + 50% = 150%
Price of each passion fruit
= 1.20 x 150%
= 1.20 x
150100 = $1.80
10.8 u + 19.8 u = 153
30.6 u = 153
1 u = 153 ÷ 30.6 = 5
Cost of the pears
= 9 u x 1.20
= 9 x 5 x 1.20
= $54
(b)
Number of passion fruits ordered
= 11 u
= 11 x 5
= 55
Answer(s): (a) $54; (b) 55