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:

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

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.

Q #1: To determine the insurance of a car, an insurance company considers the following determinants: the age of the car, the model of the car, and the mileage of the car. Which of the following is the dependent variable?

A. Model

B. Insurance premium

C. Mileage

D. Age

Answer Explanation

A dependent variable is one that when another variable changes, it also changes. In our case, the insurance premium changes if the age, model, mileage of car changes. Thus, insurance premium is the dependent variable while the other three are independent variable.
Q #2: Simplify the expression below. Which of the following is correct? $18x^5yz\ \div\ \ 6xyz^4$

A. $3x^4z^3$

B. $3x^4yz^3$

C. $\frac{(3x)^4}{z^3}$

D. $\frac{(3x^4)}{z^3}$

Answer Explanation

We use the properties of exponent with the same base to solve for above expression.

Multiplication of exponents with same base, we add the exponents

Division of exponents with same base, we subtract the exponents

Using these two properties, we can solve the expression:

Now we use the following properties:

y0 =1, and , thus
Q #3: The graph below compares the age of car to its value. Which of the following is the age of the car when its value is $12,500?

A. Between 2 and 3 years

B. Less than 1 year

C. Greater than 3 years

D. Between 1 and 2 years

Answer Explanation

We extrapolate the values of a line between 10 and 15 on y-axis to meet the curve and drop another line from the intersection of the curve to meet the x-axis and read off the age of the car.

Now, let’s extrapolate in the following diagram

The intersection of the line and the x-axis is between 4 and 5 years. This means that the car is about 4.5 years old. From the options given, the age of the car is more than 3 years old.