How do you solve this problem:

Jack brought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50. What is the cost of one slice of mushroom pizza?

a. $1.50
b. $2.00
c. $3.00
d. $3.50

this is same type of question you had in

http://www.jiskha.com/display.cgi?id=1243260035

follow the same procedure PC and I suggested then.

To solve this problem, we can set up a system of equations based on the given information. Let's define the cost of one slice of cheese pizza as "C" and the cost of one slice of mushroom pizza as "M".

From the first statement, we know that Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. So, we can write the equation:

3C + 4M = 12.50

From the second statement, we know that Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50. So, we can write the equation:

3C + 2M = 8.50

Now, we need to solve this system of equations to find the value of M, which represents the cost of one slice of mushroom pizza.

There are several methods to solve a system of equations, such as substitution or elimination. Let's use the elimination method in this case.

First, we'll multiply both sides of the second equation by 2 to eliminate the M term:

3C + 2M = 8.50
2(3C + 2M) = 2(8.50)
6C + 4M = 17

Now we have the system of equations:
3C + 4M = 12.50
6C + 4M = 17

By subtracting the first equation from the second equation, we can eliminate the M term:

(6C + 4M) - (3C + 4M) = 17 - 12.50
6C + 4M - 3C - 4M = 4.50
3C = 4.50

Dividing both sides of the equation by 3, we find:

C = 4.50 / 3
C = 1.50

Now, we know that the cost of one slice of cheese pizza is $1.50. We can substitute this value into either one of the original equations to find the cost of one slice of mushroom pizza.

Let's use the first equation:

3C + 4M = 12.50
3(1.50) + 4M = 12.50
4.50 + 4M = 12.50

Subtracting 4.50 from both sides of the equation:

4M = 12.50 - 4.50
4M = 8

Dividing both sides of the equation by 4, we find:

M = 8 / 4
M = 2

So, the cost of one slice of mushroom pizza is $2. Therefore, the correct answer is (b) $2.00.