Maureen's profit from selling bananas in school is given by P = 3x2 – 3x + 10, where x is the total number of bananas sold in the day. If she only had a profit of Php 70.00 yesterday, how many bananas did she sell?
Answers
Answer:
Price of 1 dozen banana =Rs30.
Price of 12 dozen banana =Rs30×12=Rs360.
So Aditya has Rs360 with him to buy bananas.
Now if the price is increased by Rs10
New price of 1 dozen banana =Rs40
Total money Aditya has =Rs360
No. of dozen he can buy =
Priceof1dozen
TotalMoney
=
40
360
=9
Aditya can buy 9 dozen bananas with the money he has.
Step-by-step explanation:
Given : Maureen's profit from selling bananas in school is given by
P = 3x² – 3x + 10, where x is the total number of bananas sold in the day. she only had a profit of Php 70.00 yesterday,
To Find: how many bananas did she sell?
Solution:
P = 3x² – 3x + 10
P = profit = 70
3x² – 3x + 10 = 70
=> 3x² – 3x - 60 = 0
=> x² - x - 20 = 0
=> x² - 5x + 4x - 20 = 0
=> x(x - 5) + 4(x - 5) = 0
=> (x - 5) (x + 4) = 0
=> x = 5 or x = - 4
Bananas sold can not be negative
Hence x = 5
So Bananas Sold = 5
She sold 5 bananas
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