A fruit vendor ordered some fruits. 45% of the fruits he ordered were mangoes and the rest were passion fruits. Each mango cost $2.50 and each passion fruit cost 40% more than each mango. The vendor paid a total of $671.
- Find the total cost of the mangoes.
- How many passion fruits did he order?
(a)
|
Mangoes |
Passion Fruits |
Numbers |
9 u |
11 u |
Price |
$2.50 |
$3.50 |
Total value |
22.5 u |
38.5 u |
45% =
45100 =
920Number of mangoes = 9 u
Number of passion fruits = 20 u - 9 u = 11 u
Price of each mango in percent = 100%
Price of each passion fruit in percent = 100% + 40% = 140%
Price of each passion fruit
= 2.50 x 140%
= 2.50 x
140100 = $3.50
22.5 u + 38.5 u = 671
61 u = 671
1 u = 671 ÷ 61 = 11
Cost of the mangoes
= 9 u x 2.50
= 9 x 11 x 2.50
= $247.5
(b)
Number of passion fruits ordered
= 11 u
= 11 x 11
= 121
Answer(s): (a) $247.5; (b) 121