if the price of an orange was raised by 1/2k per orange, the number of oranges a customer can buy for #2.40 wil be less than 16.what is the price of an orange
not sure what the "k" is, but assuming it's a currency symbol, we have, letting the price be p per orange,
2.40/(p + 1/2) < 16
2.40 < 16p + 8
-5.60 < p
That indicates that p can be any positive value.
Better explain just what you want to know.
Let x represent the price of an orange and
y represent the number of oranges that can be bought
xy = 240k, y = 240x.....(i)
If the price of an oranges is raised by 12k per orange, number that can be bought for N240 is reduced by 16
Hence, y - 16 = \frac{240}{x + \frac{1}{2}
= 4802x+1
= 4802x+1.....(ii)
subt. for y in eqn (ii) 240x - 16
= 4802x+1
= 240−16xx
= 4802x+1
= (240 - 16x)(2x + 1)
= 480x
= 480x + 240 - 32x2 - 16
480x = 224 - 32x2
x2 = 7
x = 7–√
= 2.5k
To find the price of an orange, we can use the information given in the question.
Let's assume the initial price of an orange is 'x' naira. According to the question, the price is raised by 1/2k naira per orange.
Therefore, the new price of an orange would be (x + 1/2k) naira.
Now, we need to find the number of oranges a customer can buy for #2.40.
Let's assume the number of oranges the customer can buy is 'n'.
The total cost of buying 'n' oranges would be n * (x + 1/2k).
According to the question, the customer can buy less than 16 oranges for #2.40, so we can write the equation:
n * (x + 1/2k) < 16
Now, let's substitute the given values into the equation:
n * (#2.40 + 1/2k) < 16
To calculate the price of an orange, we need to know the value of 'k'. Unfortunately, it's not provided in the question. Please provide the value of 'k', and I'll be able to assist you further.
To find the price of an orange, we need to solve the given problem. Let's break down the problem step by step.
1. Let's assume the original price of an orange is "x" Naira.
2. According to the problem, the price of an orange is raised by 1/2k per orange. This means the new price of an orange is (x + 1/2k).
3. The number of oranges a customer can buy for #2.40 is given as "less than 16".
4. We can set up an equation to represent this information:
(2.40) / (x + 1/2k) < 16
Simplifying the equation, we get:
2.40 < 16(x + 1/2k)
Now, in order to solve the equation, we need to know the value of "k". Since the problem does not provide this information, we cannot determine the exact price of an orange without the value of "k".