A fruit vendor ordered some fruits. 35% of the fruits he ordered were starfruits and the rest were passion fruits. Each starfruit cost $1.60 and each passion fruit cost 50% more than each starfruit. The vendor paid a total of $1272.
- Find the total cost of the starfruits.
- How many passion fruits did he order?
(a)
|
Starfruits |
Passion Fruits |
Numbers |
7 u |
13 u |
Price |
$1.60 |
$2.40 |
Total value |
11.2 u |
31.2 u |
35% =
35100 =
720Number of starfruits = 7 u
Number of passion fruits = 20 u - 7 u = 13 u
Price of each starfruit in percent = 100%
Price of each passion fruit in percent = 100% + 50% = 150%
Price of each passion fruit
= 1.60 x 150%
= 1.60 x
150100 = $2.40
11.2 u + 31.2 u = 1272
42.4 u = 1272
1 u = 1272 ÷ 42.4 = 30
Cost of the starfruits
= 7 u x 1.60
= 7 x 30 x 1.60
= $336
(b)
Number of passion fruits ordered
= 13 u
= 13 x 30
= 390
Answer(s): (a) $336; (b) 390