Question

Copy Cat Copies charges 18 cents for the first copy and 12 cents for each additional copy. What is the greatest number of copies you can get for $3.00?

Answer 1

As per the problem

Copy Cat Copies charges 18 cents for the first copy and 12 cents for each additional copy.

we are supposed to find the greatest number of copies you can get for $3.00.

Let the greatest number of possible copies be x, then we can write

$18+12(x-1)=300, 3 dollar=300 cent\\ \\ \text{Since greatest number of copies is x and the first copy charge is 18 cent }\\ \text{So charges per copy for rest of the (x-1) copies will be 12 cent }\\ \\ \Rightarrow 18+12x-12=300\\ \\ \text{Take the like terms together and simplify we get}\\ \\ \Rightarrow12x=300+12-18\\ \\ \Rightarrow12x=294\\ \\ \text{Divide both the sides by 12 we get}\\ \\ x=24.5\\ \\ \text{Hence the maximum number of copies possible in 3 dollar is 24}$

Answer 2

12x23= 276 which is $2.76
then you add 276+18= 294

So the most copies you can buy are 24 without going over $3