Question

A customer paid a total of six dollars for 68 copies at a print shop. Some of the copies were black and white copies and the rest were color copies each black and white copy cost eight cents each color copy cost $.15,

Answer 1

Therefore, the customer made 60 black and white copies and 8 color copies.

Explanation:

To solve this problem, we can use a system of equations.

Let's say the number of black and white copies is "x," and the number of color copies is "y."

We can set up two equations based on the given information:

Equation 1: x + y = 68 (since the total number of copies is 68) Equation 2: 0.08x + 0.15y = 6 (since the total cost is 6 dollars)

To solve this system of equations, we can use either substitution or elimination method.

Let's use substitution: From Equation 1, we can express "x" in terms of "y" by subtracting "y" from both sides: x = 68 - y

Now, substitute this value of "x" into Equation 2: 0.08(68 - y) + 0.15y = 6

Simplify the equation: 5.44 - 0.08y + 0.15y = 6 5.44 + 0.07y = 6 Subtract 5.44 from both sides: 0.07y = 0.56

Divide both sides by 0.07: y = 8

Now, substitute the value of "y" back into Equation 1 to find "x": x + 8 = 68 x = 60