The Century club runs the concession stand during football games. They sell snacks and drinks. 50 snacks and 180 drinks will sell for $320. 75 snacks and 100 drinks will sell for $225. How much does each drink sell for?

The cost of each drink is $1.5

Step-by-step explanation:

Let us represent

The cost of snacks = x

The cost of drinks = y

50 snacks and 180 drinks will sell for $320

Hence:

50x + 180y = 320 Equation 1

75 snacks and 100 drinks will sell for $225.

Hence:

75x + 100y = 225 Equation 2

Combining both Equations together

50x + 180y = 320 Equation 1

75x + 100y = 225 Equation 2

Multiply Equation 1 by 75 and Equation 2 by 50 to eliminate x

3750x + 13500y = 24000 Equation 3

3750x + 5000y = 11250 Equation 4

Subtract Equation 4 from Equation 3

8500y = 12750

y = 12750/8500

y = $1.5

Therefore, the cost of each drink is $1.5

the anwser is d) 75°

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