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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.

More Questions on TEAS 7 Math

  • Q #1: Simplify the expression above. Which of the following is correct?

    A. 6

    B. 8

    C. 1

    D. 12

    Answer Explanation

    We follow the order of operations to solve the given expression.

    First, we start with the numerator and solve it as follows

    [2(3+5*3)]

    We start with multiplication in inner brackets, 5*3=15. The expression becomes

    [2(3+15)]

    Then, we conduct the addition of 3+15=18. Then, the expression yields

    [2(18)]=2*18=36

    Now, we solve for denominator, which is 12/2=6.

    Thus, the expression is reduced into

    The expression reduces into 6.

  • Q #2: A pharmaceutical company’s stock price was $50.33 on Monday. On Tuesday, the price went up $2.35. On Wednesday, the price decreased from Tuesday’s price by $1.07. On Thursday, the price went up $0.75 from Wednesday’s price. Which of the following was the final price on Thursday?

    A. $54.50

    B. $53.43

    C. $52.36

    D. $50.86

    Answer Explanation

    We need to find the price changes in each day of the week in order to find the price of the stock on Thursday.

    Monday’s price was $50.33

    Tuesday’s price went up by $2.35 from Monday’s price. The price was $(50.33+2.35)=$52.68

    Wednesday’s price decreased by $1.07 from Tuesday’s price, and so the price of the stock was $(52.68-1.07)=$51.61

    Thursday’s price increased by $0.75 from Wednesday’s price, which was $(51.61+0.75)=$52.36

    Therefore, the price of the stock on Thursday was $52.36.

  • Q #3: Which of the following is the value of x in the equation below

    A. x= -1/2 or x=3/2

    B. x= -1 or x=2

    C. x =-2 or x= 1

    D. x= -3/2 or x= 1/2

    Answer Explanation

    We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.

    Add 10 to both sides of the equation

    Next, we apply the absolute rule:

    ,   a>0, then u=a or u=-a

    In this case a=12, which is greater 0. Then, the first condition becomes

    Solving for x

    The second condition becomes

    Solving for x

    Then, the value of x is -1 or 2.