/

A pudding recipe for 50 people calls for 4 cups of sugar. Each bag of sugar contains 6 cups. How many bags of sugar will be needed to make this recipe for 300 people?

A. 8 bags

B. 13 bags

C. 4 bags

D. 24 bags

Answer Explanation:

We need to perform a series of numerical dimensional analysis to find the number of bags sugar needed for 300 people.

We are told that 50 people need 4 cups of sugar. This can be interpretated as:

Or

Also, one bag of sugar contains 6 cups. This can also be presented as:

Or

We use the second option relating number of people and cups, and second option relating cups of sugar and bag of sugar to find for number of bags of sugar needed for 300 people.

 

Therefore, 300 people will need 4 bags of sugar.

Therefore, the Correct Answer is C.

More Questions on TEAS 7 Math

  • Q #1: To rent tablecloth from a rental vendor, there is an initial charge of $40. There is an additional charge of $5 per circular tablecloth (c) and $3.50 per rectangular tablecloth (r). Which of the following represents the total cost (T) to rent tablecloths?

    A. 5r + 3.5c - 40 = T

    B. 5c + 3.5r + 40 = T

    C. 5c + 3.5r - 40 = T

    D. 5r + 3.5c + 40 = T

    Answer Explanation

     From the given scenario:

    Initial charge is $40

    Additional charge per circular cloth=$5c

    Additional charge per rectangular cloth=$3.50r

    Total cost = additional charge per circular rectangular cloths + Initial charge

    Total cost, T = 5c + 3.5r + 40

  • Q #2: A patient's temperature was recorded in degrees Fahrenheit every hour for 8 hr. The temperatures in Fahrenheit were 99.0°, 99.2°, 98.7°, 99.3°, 99.7°, 98.6°, 100.0° and 99.0°. Which of the following is the median temperature?

    A. 99.5°F

    B. 99.1°F

    C. 99.2°F

    D. 99°F

    Answer Explanation

    The median temperature can be found by organizing the temperature values from the smallest to the largest value as follows:

    98.6, 98.7, 99.0, 99.0, 99.2, 99.3, 99.7, 100.0

    (for an even set of numbers, Median = frac{(frac{n}{2})th observation + (frac{n}{2} + 1) th observation}{2})

    From the data set above, there are 8 temperature values. The median is the temperature value in the middle position, which falls between the (frac{n}{2} th) and ((frac{n}{2} + 1) th) position. Here N=8 and median is found as:

    (frac{(frac{n}{2})th + (frac{n}{2} + 1) th}{2} = )(frac{(frac{8}{2})th + (frac{8}{2} + 1) th }{2} = 4.5th position)

    The element in the 4.5th position is the average of the 4th and 5th element.

    (frac{99.0 + 99.2}{2} = 99.1)

    Thus 99.1 is the median temperature.

  • Q #3: Pat deposits $600 in a savings account at a simple interest rate 6% per year for 5 years. How much money will Pat have earned in interest at the end of 5 years?

    A. $360

    B. $180

    C. $95

    D. $36

    Answer Explanation

    In the simple interest, we utilize the following formula to find the simple interest after a period of time in years.

    I=P*r*t

    I is the interest

    P=Principal or initial deposit

    r=rate

    t=time in years

    From the given problem, P=$600, r=6%=6/100=0.06, t=5 years. Then

    I=$600*0.06*5=$180

    After 5 years, Pat will earn an interest of $180.