A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 6 slices of pizza and 4 soft drinks for $ 28.28. The second group bought 5 slices of pizza and 4 soft drinks for $ 24.50. How much does one slice of pizza cost?

Respuesta :

aachen

Answer:

$3.78

Step-by-step explanation:

Given: The first group bought 6 slices of pizza and 4 soft drinks for $ 28.28.

The second group bought 5 slices of pizza and 4 soft drinks for $ 24.50.

To find: The cost of one slice of pizza.

Solution: Let the cost of one slice of pizza be $ x, and the cost of one soft drink be  $ y.

As per question,

[tex]6x+4y=28.28[/tex] ...(1)

[tex]5x+4y=24.50[/tex] ...(2)

On subtracting equation 2 from 1 we have,

[tex]x=28.28-24.50[/tex]

[tex]x=3.78[/tex]

Hence, one slice of pizza costs  $3.78.