Question

The price of 6 slices of pizza and

4 drinks is $37. The price of 4 slices
of pizza and 6 drinks is $33. How
much does one drink.cost?

Answer 1

2.50

Explanation:

Answer 2

For this case we propose a system of equations:

x: Let the variable representing the cost of each pizza slice

y: Let the variable that represents the cost of each drink

According to the data we have:

`6x + 4y = 37\\4x + 6y = 33`

We multiply the first equation by -4:

`-24x-16y = -148`

We multiply the second equation by 6:

`24x + 36y = 198`

We add the equations:

`-24x + 24x-16y + 36y = -148 + 198\\20y = 50\\y = \frac {50} {20}\\y = 2.5`

So, each drink costs $2.5

For its part, each slice costs:

`x = \frac {33-6y} {4}\\x = \frac {33-6 (2.5)} {4}\\x = \frac {33-15} {4}\\x = \frac {18} {4}\\x = 4.5`

Each slice cuests $4.5

Answer:

Each drink costs $2.5

Each slice cuests $4.5