Eric is baking a cake. The recipe calls for 2 1/2 pounds of flour for every 1/4 cup of sugar. How many pounds of flour should Eric use for 1 cup of sugar?
A. 1/10
B. 5/8
C. 4
d. 10
B. 5/8
To find the amount of flour needed for 1 cup of sugar, we can set up a proportion with the given ratio:
2 1/2 pounds of flour / 1/4 cup of sugar = x pounds of flour / 1 cup of sugar
Now, we need to find the equivalent ratio of 1 cup of sugar to 1/4 cup sugar:
1 cup sugar = 4/4 = 4
Now, we can set up the proportion and solve for x:
2 1/2 / 1/4 = x / 4
2 1/2 * 4 = 1/4 * x
10 = x/4
x = 10 * 4 = 40
So, Eric should use 40 pounds of flour for 1 cup of sugar.
But x is in pounds, not in a fraction of the total. So let's write it as a fraction:
40 pounds / 64 pounds = 5/8 pounds
Therefore, Eric should use 5/8 pounds of flour for 1 cup of sugar.