A fruit vendor ordered some fruits. 35% of the fruits he ordered were mangoes and the rest were passion fruits. Each mango cost $2.60 and each passion fruit cost 50% more than each mango. The vendor paid a total of $1378.
- Find the total cost of the mangoes.
- How many passion fruits did he order?
(a)
| |
Mangoes |
Passion Fruits |
| Numbers |
7 u |
13 u |
| Price |
$2.60 |
$3.90 |
| Total value |
18.2 u |
50.7 u |
35% =
35100 =
720Number of mangoes = 7 u
Number of passion fruits = 20 u - 7 u = 13 u
Price of each mango in percent = 100%
Price of each passion fruit in percent = 100% + 50% = 150%
Price of each passion fruit
= 2.60 x 150%
= 2.60 x
150100 = $3.90
18.2 u + 50.7 u = 1378
68.9 u = 1378
1 u = 1378 ÷ 68.9 = 20
Cost of the mangoes
= 7 u x 2.60
= 7 x 20 x 2.60
= $364
(b)
Number of passion fruits ordered
= 13 u
= 13 x 20
= 260
Answer(s): (a) $364; (b) 260
