A bucket containing 2 4/5 gallons of water is 1/3 full. How many gallons of water is in one fully filled bucket?

A. 14/15

B. 2 7/15

C. 8 2/5

D. 6 4/5

Answer Explanation:

We are asked to find the number of gallons full tank can hold. The fraction of full tank is 1.

First, we let x be the number of gallons in full tank. Then, set the proportion equation by setting the number of gallons on the numerator and fraction of tank on denominator as follows.

Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.

Converting 42/5 to a mixed fraction is 8 2/5. Thus, when the tank is full, it holds 8 2/5 gallons of water.

Therefore, the Correct Answer is C.

Q #1: A bucket containing 2 4/5 gallons of water is 1/3 full. How many gallons of water is in one fully filled bucket?

A. 14/15

B. 2 7/15

C. 8 2/5

D. 6 4/5

Answer Explanation

We are asked to find the number of gallons full tank can hold. The fraction of full tank is 1.

First, we let x be the number of gallons in full tank. Then, set the proportion equation by setting the number of gallons on the numerator and fraction of tank on denominator as follows.

Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.

Converting 42/5 to a mixed fraction is 8 2/5. Thus, when the tank is full, it holds 8 2/5 gallons of water.
Q #2: 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 #3: There are 800 students enrolled in four allied health program at a local community college. The percent students in each program is displayed in the pie chart. Which of the following is the number of students enrolled in the respiratory care program?

A. 168

B. 144

C. 336

D. 152

Answer Explanation

We are asked to find the number of students enrolled in the respiratory care program using the percentages in the pie chart.

If we let x represent the number of students enrolled in the respiratory care program, we can set a proportion equation with number of students on the numerator and percentages on the denominator. The whole pie chart represents 100%, which is 800 students. Then, 19% will represent

We solve the value of x by cross-multiplying the equation above.

So, 152 students will enroll for a respiratory care program.