Four cheeseburgers and five milkshakes cost a total of $25.50. Two milkshakes cost $1.75 more than one cheeseburger, and also find the cost of a milkshake.
(A)$3.25 for a cheeseburger and $250 for a milkshake.
(B)$3 for a cheeseburger and $2.90 for a milkshake.
(c) $ 4.15 for a cheeseburger $1.50 for a milkshake.
(D)$.95 for a cheeseburger and $2 for a milkshake
4c + 5m = 25.50
2m = c+1.75
Now just solve the two equations, using your favorite method. I get (A) assuming a missing decimal point.
To solve this question, we will set up a system of equations based on the given information.
Let's assume the cost of one cheeseburger is x dollars, and the cost of one milkshake is y dollars.
From the given information:
Four cheeseburgers would cost 4x dollars.
Five milkshakes would cost 5y dollars.
We are told that the total cost of four cheeseburgers and five milkshakes is $25.50, so we can set up the equation:
4x + 5y = 25.50 ----(1)
We are also given that two milkshakes cost $1.75 more than one cheeseburger. This can be written as:
2y = x + 1.75 ----(2)
To solve this system of equations, we can use substitution or elimination.
Let's use the substitution method to solve this system:
Rearrange equation (2) to solve for x:
x = 2y - 1.75
Now substitute this value of x into equation (1):
4(2y - 1.75) + 5y = 25.50
Simplify and solve for y:
8y - 7 + 5y = 25.50
13y - 7 = 25.50
13y = 32.50
y = 32.50/13
y ≈ 2.50
Now, we can substitute this value of y back into equation (2) to find x:
2(2.50) = x + 1.75
5 = x + 1.75
x = 5 - 1.75
x ≈ 3.25
Therefore, the cost of a cheeseburger is approximately $3.25, and the cost of a milkshake is approximately $2.50.
None of the given options match the solution exactly. However, option (A) is the closest, with $3.25 for a cheeseburger and $2.50 for a milkshake.