Question

9. Mark drinks one cup of coffee everyday. He orders a coffee from Dunkin Donuts and it costs him $3.50 everyday. He is starting to think that he might buy a Keurig and k-cups instead. The Keurig is $150 and each k-cup costs $0.50. How many cups of coffee will it take for the cost at Dunkin Donuts to be the same as having a Keurig and k-cups?

Answer 1

It would take 50 cups of coffee for the cost at Dunkin Donuts to be the same as having a Keurig and k-cups.

Step-by-step explanation:

To find the number of cups of coffee it would take for the cost at Dunkin Donuts to be the same as having a Keurig and k-cups, we need to set up an equation.

Let's denote the number of cups of coffee as x.

The cost at Dunkin Donuts is $3.50 per cup.

The cost of a Keurig is $150 and each k-cup costs $0.50.

So, the total cost of having a Keurig and k-cups is given by the equation:

$150 + $0.50x

Now, we need to find the cup of coffee at which the cost at Dunkin Donuts is equal to the cost of having a Keurig and k-cups:

$3.50x = $150 + $0.50x

Subtracting $0.50x from both sides:

$3.50x - $0.50x = $150

Simplifying:

$3x = $150

Dividing both sides by $3:

x = $150 / $3 = 50

Therefore, it would take 50 cups of coffee for the cost at Dunkin Donuts to be the same as having a Keurig and k-cups.

Answer 2

Answer: 50 cups of coffee

Step-by-step explanation:

Let x represent the number of cups of coffee that it will take for the cost at Dunkin Donuts to be the same as having a Keurig and k-cups.

He orders a coffee from Dunkin Donuts and it costs him $3.50 everyday. It means that the cost of ordering x cups would be 3.5x.

The Keurig is $150 and each k-cup costs $0.50. It means that the cost of ordering x cups would be 150 + 0.5x.

For the ordering cost to be the same, it means that

3.5x = 150 + 0.5x

3.5x - 0.5x = 150

3x = 150

x = 150/3

x = 50