Company A rents copiers for a monthly charge of $200 and $0.08 per copy. Company B rent copiers for a monthly charge of $400 and $0.04 per copy. How many copies produce the same bill? The answer I have is 5,0000 is this correct?
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To determine the number of copies that produce the same bill for both Company A and Company B, we need to set up an equation and solve for the unknown variable (number of copies).
Let's assume the number of copies is 'x'.
For Company A:
Total cost = Monthly charge + (Cost per copy * Number of copies)
Total cost for Company A = $200 + (0.08 * x)
For Company B:
Total cost = Monthly charge + (Cost per copy * Number of copies)
Total cost for Company B = $400 + (0.04 * x)
To find the number of copies that produce the same bill for both companies, we set the total costs equal to each other and solve for 'x':
$200 + (0.08 * x) = $400 + (0.04 * x)
Let's solve this equation step by step:
$200 + 0.08x = $400 + 0.04x
Subtract 0.04x from both sides to isolate the terms with 'x' on one side:
0.08x - 0.04x = $400 - $200
0.04x = $200
Divide both sides by 0.04 to solve for 'x':
x = $200 / 0.04
Calculating this:
x = $5,000
So, the correct answer is 5,000 copies.