A macaroni and cheese recipe calls for 1/3 cup of flour for every 1 1/5 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?

A. 7 1/5 cups

B. 2 2/5 cups

C. 3 8/15 cups

D. 6 cups

Answer Explanation:

We are being asked to find the amount of milk needed. This is a proportion problem, which compares the amount of flour to that of milk. Letting x represent the amount of milk required, we set up the proportion with flour on the numerator and amount of milk in denominator as follows:

Change the mixed fraction of 1 1/5 into improper fraction as follows

The proportion equation becomes

Cross-multiply to solve for x

As an mixed fraction, 36/5 becomes 7 1/5. Therefore, 7 1/5 cups of milk are needed to make a big batch of 2 cups.

Therefore, the Correct Answer is A.

Q #1: A circle has an area of 49 in2. Which of the following is the circumference of the circle in terms of pi ( )?

A. 7 π in

B. 14 π in

C. 28 π in

D. 3.5 π in

Answer Explanation

We need to find the circumference of the circle from the given area.

To find the circumference, we need to find the radius of the circle from the given area.

Let r be the radius of the circle, and the area of the circle is given by

Substituting the value of area in the above equation becomes

Dividing both sides by pi and taking square root on both sides yields

The radius of the circle is 7 in. and the circumference of the circle is given by the relation:
Q #2: Which of the following is the decimal equivalent of 7/25?

A. 0.28

B. 3.4

C. 3.57

D. 0.18

Answer Explanation

7/25 is the same as 7÷25. The value becomes 0.28.

Thus, 0.28 is the decimal equivalent of 7/25.
Q #3: A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, four times as many as nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than quarters?

A. 4 times as many

B. 5 times as many

C. 20 times as many

D. 10 times as many

Answer Explanation

In this problem, we need to compare the number of dimes to quarters.

If we let n be number of pennies in the bottle. Then,

Number of quarters in the bottle = 2n

Number of nickels in the bottle = 4n

Number of dimes in the bottle =5(4n)=20n

Now relating dimes to quarters, we have

Thus, there are 10 times as many dimes as quarters in the box.