Question

The concession stand at South Shore Little League sells hot chocolate for $0.75 per cup and coffeefor $0.50 per cup. At the last game, the concession stand made $200 selling 275 cups of these hotbeverages. How many cups of each drink were sold?Show your work

Answer 1

250 cups of chocolate and 25 cups of coffee.

Step-by-step explanation:

Let's call

x: the number of chocolate cups

y: the number of coffee cups.

If they made $200, we can write the following equation:

0.75x + 0.50y = 200

Because they sell hot chocolate for $0.75 and coffee for $0.50.

Additionally, they sell 275 cups, so:

x + y = 275

Solving the equation for y, we get:

x + y - x = 275 - x

y = 275 - x

Now, we can substitute y = 275 - x on the first equation:

0.75x + 0.50y = 200

0.75x + 0.50(275 - x) = 200

Then, we can solve the equation for x:

0.75x + 0.50(275) - 0.50x = 200

0.75x + 137.5 - 0.50x = 200

0.25x + 137.5 = 200

0.25x + 137.5 - 137.5 = 200 - 137.5

0.25x = 62.5

0.25x/0.25 = 62.5/0.25

x = 250

Finally, replacing x by 250, we can find the value of y as follows:

y = 275 - x

y = 275 - 250

y = 25

So, they sold 250 cups of chocolate and 25 cups of coffee.