Four cans of cat food and 3 cans of dog food cost $1.99. Four cans of the same cat food and 1 can of the same dog food cost $1.33. What is the cost of one can of cat food and one can of dog food?
My answer: $0.33 for dog food and $0.25 for cat food.
To find the cost of one can of cat food and one can of dog food, we can set up a system of equations based on the given information.
Let's represent the cost of one can of cat food as 'c' and the cost of one can of dog food as 'd'.
From the first equation:
4c + 3d = 1.99
From the second equation:
4c + d = 1.33
Now, we can solve these equations simultaneously to find the values of 'c' and 'd'.
First, let's eliminate 'c' by subtracting the second equation from the first equation:
(4c + 3d) - (4c + d) = 1.99 - 1.33
3d - d = 0.66
2d = 0.66
d = 0.66 / 2
d = 0.33
Now that we know the cost of one can of dog food is $0.33, we can substitute this value back into either of the original equations to find the cost of one can of cat food.
Using the second equation:
4c + 0.33 = 1.33
4c = 1.33 - 0.33
4c = 1.00
c = 1.00 / 4
c = 0.25
Therefore, the cost of one can of cat food is $0.25 and the cost of one can of dog food is $0.33, which matches your answer.