A fruit vendor ordered some fruits. 30% of the fruits he ordered were mangosteens and the rest were starfruits. Each mangosteen cost $1.20 and each starfruit cost 50% more than each mangosteen. The vendor paid a total of $405.
- Find the total cost of the mangosteens.
- How many starfruits did he order?
(a)
|
Mangosteens |
Starfruits |
Numbers |
3 u |
7 u |
Price |
$1.20 |
$1.80 |
Total value |
3.6 u |
12.6 u |
30% =
30100 =
310Number of mangosteens = 3 u
Number of starfruits = 10 u - 3 u = 7 u
Price of each mangosteen in percent = 100%
Price of each starfruit in percent = 100% + 50% = 150%
Price of each starfruit
= 1.20 x 150%
= 1.20 x
150100 = $1.80
3.6 u + 12.6 u = 405
16.2 u = 405
1 u = 405 ÷ 16.2 = 25
Cost of the mangosteens
= 3 u x 1.20
= 3 x 25 x 1.20
= $90
(b)
Number of starfruits ordered
= 7 u
= 7 x 25
= 175
Answer(s): (a) $90; (b) 175