a cup of coffee cost .75 cents more than a donut, maya buys 12 donuts and 2 cups of coffee for 19 dollars. how much is 1 cup of coffee
Let's assume the cost of a donut is x dollars.
According to the given information, the cost of a cup of coffee is x + 0.75 dollars.
Maya buys 12 donuts, which costs 12 * x = 12x dollars.
Maya also buys 2 cups of coffee, which costs 2 * (x + 0.75) = 2x + 1.5 dollars.
The total cost of all the purchases is 12x + 2x + 1.5 = 19 dollars.
Combining like terms, we get 14x + 1.5 = 19.
Subtracting 1.5 from both sides, we get 14x = 17.5.
Dividing both sides by 14, we get x = 1.25.
Therefore, the cost of a cup of coffee is 1.25 + 0.75 = 2 dollars. Answer: \boxed{2}.
To find the cost of a cup of coffee, let's first assign variables to the unknowns. Let's say the cost of a donut is "d" dollars, and the cost of a cup of coffee is "c" dollars.
According to the given information, a cup of coffee costs $0.75 more than a donut. So, we can express the cost of a cup of coffee as "d + $0.75", or "d + 0.75".
Maya buys 12 donuts and 2 cups of coffee for a total of $19. We can express this information in an equation:
12d + 2c = 19
Now, let's substitute the expression for the cost of a cup of coffee into the equation:
12d + 2(d + 0.75) = 19
Next, simplify the equation:
12d + 2d + 1.5 = 19
14d + 1.5 = 19
14d = 17.5
Now, divide both sides of the equation by 14 to isolate the variable "d" and find the cost of a donut:
d = 17.5 / 14
d ≈ 1.25
Therefore, the cost of a donut is approximately $1.25.
To find the cost of a cup of coffee, substitute the value of "d" back into the expression "d + 0.75":
c = 1.25 + 0.75
c = $2.00
Therefore, 1 cup of coffee costs $2.00.
Let's denote the cost of a donut as "x" dollars.
According to the information given, a cup of coffee costs $0.75 more than a donut. Therefore, the cost of a cup of coffee is "x + $0.75" dollars.
Maya bought 12 donuts, so the total cost of the 12 donuts is "12x" dollars.
Maya also bought 2 cups of coffee, so the total cost of the 2 cups of coffee is "2(x + $0.75)" dollars.
According to the problem, the total cost of the 12 donuts and 2 cups of coffee is $19. Putting it all together, we can create the equation:
12x + 2(x + $0.75) = $19
Simplifying the equation, we get:
12x + 2x + $1.50 = $19
14x + $1.50 = $19
Now, let's isolate "x" by subtracting $1.50 from both sides of the equation:
14x + $1.50 - $1.50 = $19 - $1.50
14x = $17.50
To find the value of "x", we divide both sides of the equation by 14:
14x/14 = $17.50/14
x = $1.25
So, the cost of one donut is $1.25.
Now, to find the cost of one cup of coffee, we substitute the value of "x" into "x + $0.75":
$1.25 + $0.75 = $2.00
Therefore, the cost of one cup of coffee is $2.00.