A baker is using a cookie recipe that calls for 3 ¼ cups of flour to yield 64 cookies. How much flour will the baker need to make 130 cookies using the same recipe?
A. 6 77/128 cups
B. 5 5/128 cups
C. 10 1/28 cups
D. 4 81/128 cups
we are asked to find the number of cups of flour that will be used to make 130 cookies.
First, we convert 3 ¼ into improper fraction as:
Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:
Solve the value of x by cross-products
Dividing both sides by 64, the above equation result to
Thus, the number of cups of flour needed to make 130 cookies is 845/128 cups, which is equal to 6 77/128 cups.
Therefore, the Correct Answer is A.