if the price of oranges was raised by 1/2k pet Orange,the number of oranges a customer can buy for #2.40 Will be less by 16 .what is the present price of an Orange.
not quite sure what the relation is between "k" and "#"
but it seems to be saying that if the price is x, then
2.40/(x+.5) = 2.40/x - 16
Maybe you will need to adjust that a bit.
To find the present price of an orange, we can follow these steps:
Step 1: Let's assume the original price of one orange is x.
Step 2: The price of the orange was raised by 1/2k, which means the new price per orange is x + (1/2k).
Step 3: We know that the customer can buy fewer oranges for a total of #2.40, which means the number of oranges they can buy is less by 16.
Step 4: We can set up an equation to solve for x:
(#2.40 / x) - (#2.40 / (x + (1/2k))) = 16
Now, I'll solve the equation to determine the present price of an orange:
Step 5: Cross-multiply the fractions and simplify the equation:
[(2.40 * (x + (1/2k))) - (2.40 * x)] / [(x + (1/2k)) * x] = 16
Step 6: Distribute and simplify further:
[(2.40x + 1.20/k) - 2.40x] / [(x + (1/2k)) * x] = 16
(1.20/k) / [(x + (1/2k)) * x] = 16
Step 7: Multiply both sides of the equation by [(x + (1/2k)) * x]:
(1.20/k) = 16 * [(x + (1/2k)) * x]
(1.20/k) = 16x^2 + 8x
Step 8: Multiply both sides of the equation by k to eliminate the fraction:
1.20 = 16kx^2 + 8kx
Step 9: Rearrange the equation and set it equal to zero:
16kx^2 + 8kx - 1.20 = 0
We now have a quadratic equation in terms of x. By using the quadratic formula, we can solve for x, which represents the present price of an orange.