A macaroni and cheese recipe calls for 4/7 cup of flour for every 2 1/5 cup of milk. To make a bigger batch, the chef uses 4 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
A. 15 1/5 cups
B. 15 2/5
C. 12 8/15 cups
D. 15 cups
To find the required number of cups of milk, we need to set up a proportion equation. If we let x be the required number of cups and cups of flour as numerator and cups of milk in denominator, then the result proportion becomes:
We cannot multiply mixed fractions with any number, so we change 2 1/5 into an improper fraction as
The proportion equation becomes
Cross-multiply to solve for x
As a mixed fraction, 77/5 becomes 15 2/5. Therefore, to make a bigger batch, the chef needs 15 2/5 cups of milk.
Therefore, the Correct Answer is B.
More Questions on TEAS 7 Math
-
Q #1: A baker is using a cookie recipe that call for 3 ¼ cups of flour to yield 30 cookies. How much flour will the baker need to make 16 cookies using the same recipe?
A. 1 11/15 cups
B. 5 8/15 cups
C. 10 13/15 cups
D. 3 ¾ cups
Answer Explanation
Explanation
We are asked to find the number of cups of flour, which requires the concept of proportions.
If we let x to represent the number of cups of flour to make 16 cookies. Then
Solve the value of x by cross-multiplying
Convert the mixed fraction into improper fraction in order to carry out multiplication
The baker needs 26/15 cups of flour needed to make 16 cookies. This is equal to 1 11/15 cups.
-
Q #2: To determine the cost of producing the phone, the manufacturing company considers the location of raw materials, tax percent, and the price of chips. Which of the following is the dependent variable?
A. Price of chips
B. Cost of the phone
C. Raw materials
D. Tax percent
Answer Explanation
-
Q #3: The length of a rectangular room is 9 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A=9x
B. A=2x+2(x+9)
C. A=x(x+9)
D. A=x+(x+9)
Answer Explanation
we are asked to find the area of the room from the given information.
The first step is to find equation relating the length of the room to its width. If we let the width of the room to be x. Then,
Width of the rectangle= x
Length of rectangle = (x+9)
Area of the rectangle, A= Length*width = (x+9)*x
A=x(x+9)
Therefore, the area of the rectangular room is x(x+9).
