The price of 6 slices of pizza and 4 drinks is $37. The price of 4 slices of pizza and 6 drinks is $33 dollars. How much does a slice of pizza cost?
$4.50
$3.50
$2.50
$1.75
Let's use the information we have to set up a system of equations.
Let x represent the cost of one slice of pizza and y represent the cost of one drink.
From the given information:
6x + 4y = 37
4x + 6y = 33
Now, we can solve this system of equations to find the values of x and y.
Multiplying the first equation by 3 and the second equation by 2 to eliminate y:
18x + 12y = 111
8x + 12y = 66
Subtract the second equation from the first:
10x = 45
x = 4.50
So, the cost of one slice of pizza is $4.50.
Therefore, the correct answer is $4.50.