Jack bought 3
 slices of cheese pizza and 4
 slices of mushroom pizza for a total of $12.50
. Grace bought 3
 slices of cheese pizza and 2
 slices of mushroom pizza for a total cost of $8.50
. The system of equations below can be used to find c
, the cost of a slice of cheese pizza, and m, the cost of a slice of mushroom pizza.
 
3c+4m=12.50
3c+2m=8.50

What is the cost of one slice of mushroom pizza?
A.$4

B.$5

C.$3

D.$2


We have the system of equations:

\[
3c + 4m = 12.50 \tag{1}
\]
\[
3c + 2m = 8.50 \tag{2}
\]

To find the cost of a slice of mushroom pizza (denoted by $ m $), we can use elimination. First, subtract equation (2) from equation (1):

\[
(3c + 4m) - (3c + 2m) = 12.50 - 8.50
\]

This simplifies to:

\[
2m = 4.00
\]

Now, solve for $ m $:

\[
m = \frac{4.00}{2} = 2.00
\]

Thus, the cost of one slice of mushroom pizza is **$2**, which corresponds to option **D**.

Would you like further details on how to solve this or explore related concepts?

Here are 5 related questions for further practice:
1. What is the cost of one slice of cheese pizza in this problem?
2. How would you solve this using substitution instead of elimination?
3. What happens if both types of pizzas had the same price?
4. How can you verify the solution once found?
5. How would this problem change if Jack bought 5 slices of mushroom pizza instead of 4?

**Tip**: Elimination works best when the coefficients of one variable are the same in both equations.

Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50. The system of equations below can be used to find c, the cost of a slice of cheese pizza, and m, the cost of a slice of mushroom pizza. What is the cost of one slice of mushroom pizza? A.$4, B.$5, C.$3, D.$2

Learn how to solve a system of equations to find the cost of cheese and mushroom pizza slices. This algebra problem involves the elimination method and is suitable for students in Grades 8-10. Jack and Grace’s pizza purchases provide the system: 3c + 4m = 12.50 and 3c + 2m = 8.50.

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