A fruit vendor ordered some fruits. 25% of the fruits he ordered were starfruits and the rest were passion fruits. Each starfruit cost $2.50 and each passion fruit cost 40% more than each starfruit. The vendor paid a total of $169.
- Find the total cost of the starfruits.
- How many passion fruits did he order?
(a)
|
Starfruits |
Passion Fruits |
Numbers |
1 u |
3 u |
Price |
$2.50 |
$3.50 |
Total value |
2.5 u |
10.5 u |
25% =
25100 =
14Number of starfruits = 1 u
Number of passion fruits = 4 u - 1 u = 3 u
Price of each starfruit 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
2.5 u + 10.5 u = 169
13 u = 169
1 u = 169 ÷ 13 = 13
Cost of the starfruits
= 1 u x 2.50
= 1 x 13 x 2.50
= $32.5
(b)
Number of passion fruits ordered
= 3 u
= 3 x 13
= 39
Answer(s): (a) $32.5; (b) 39