A couple dining at a restaurant receives a bill for $58.60. They wish to leave a 16% gratuity. Which of the following is the estimated gratuity?

A. $8.48

B. $6.40

C. $9.38

D. $7.00

Answer Explanation:

In this problem, we need to find the amount of gratuity the couple will leave. The gratuity is 16% of the total bill. Before solving the problem, the following are terms and their meaning in percent problems:

Is means equals
Of means multiply
What means unknown (variable)

If we let x be the amount of gratuity, then translating the given problem into a mathematical equation becomes:

Now we evaluate the above equation noting that of means multiply.

So, the value of x=9.376 and to the nearest cent, x=9.38

There, a couple will leave a gratuity of $9.38.

Therefore, the Correct Answer is C.

Q #1: If a box of 45 syringes costs $720.00, which of the following is the cost of five syringes?

A. $75.00

B. $66.00

C. $82.00

D. $80.00

Answer Explanation

From the cost of 45 syringes, we are required to find the cost of 5 syringes. We set up a proportion equation by letting the cost of 5 syringes to y. Besides, we let the cost to be numerator and number of syringes to be denominator as follows.

Solve the value of y by cross products

Divide both sides by 45

Therefore, 5 syringes will cost $80.00.
Q #2: A large pizza has a diameter of 12 inches. Which of the following is the area of the pizza in terms of pi ()?

A. 24 πi n2

B. 48 π in2

C. 18π in2

D. 36 π in2

Answer Explanation

Before finding the area of the pizza, we need to find the radius of the pizza.

Find radius of the pizza in terms of diameter

Next, find area of the pizza using the radius of 6 inches

Substituting r=6 in the equation of the area of a circle

Thus, the pizza has an area of 36 π in2.
Q #3: Which of the following is the weight of the cargo in a truck if 2/3 of the cargo weighs 530 pounds (lb)?

A. 795 lb

B. 1030 lb

C. 1590 lb

D. 688 lb

Answer Explanation

The truck carries a whole cargo which equals 1. If we let the weight of the cargo to be p, then we set up a proportion equation with weight as numerator and fraction of cargo as denominator.

Solve for value of p by cross products

Multiply both sides by 3/2 a reciprocal of 2/3

The truck carries a cargo weighing 795 lb.