2 cups of low fat yogurt and 3 bananas contain a total of 650 calories. 4 cups of low fat yogurt and 2 bananas contain a total of 900 calories. How many calories does a cup of low fat yogurt contain?
A.
100
B.
175
C.
225
D.
325
B. 175
Let x be the number of calories in a cup of low fat yogurt and y be the number of calories in a banana.
From the given information, we can set up the following system of equations:
2x + 3y = 650
4x + 2y = 900
Solving this system of equations, we get x = 175.
Therefore, a cup of low fat yogurt contains 175 calories.