A fruit vendor ordered some fruits. 45% of the fruits he ordered were starfruits and the rest were passion fruits. Each starfruit cost $2.20 and each passion fruit cost 50% more than each starfruit. The vendor paid a total of $1683.
- Find the total cost of the starfruits.
- How many passion fruits did he order?
(a)
|
Starfruits |
Passion Fruits |
Numbers |
9 u |
11 u |
Price |
$2.20 |
$3.30 |
Total value |
19.8 u |
36.3 u |
45% =
45100 =
920Number of starfruits = 9 u
Number of passion fruits = 20 u - 9 u = 11 u
Price of each starfruit in percent = 100%
Price of each passion fruit in percent = 100% + 50% = 150%
Price of each passion fruit
= 2.20 x 150%
= 2.20 x
150100 = $3.30
19.8 u + 36.3 u = 1683
56.1 u = 1683
1 u = 1683 ÷ 56.1 = 30
Cost of the starfruits
= 9 u x 2.20
= 9 x 30 x 2.20
= $594
(b)
Number of passion fruits ordered
= 11 u
= 11 x 30
= 330
Answer(s): (a) $594; (b) 330