Five friends are sharing a pizza. Two friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?

A. 1/6

B. 1/3

C. 5/6

D. 1/5

Answer Explanation:

we need to find the portion of pizza shared by other three friends.

Two friends eat half of the pizza, which is ½

And the remaining amount of pizza,

Now, the other three friends share ½ amongst themselves equally. Then, each friend gets

The other three friends each gets 1/6 of the pizza.

Therefore, the Correct Answer is A.

Q #1: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 1.5 feet above the sidewalk?

A. 12 feet

B. 4.5 feet

C. 3 feet

D. 18 feet

Answer Explanation

We use the given slope to find the minimum length of the ramp. In this case, slope is the ratio of height to length of the lamp. Thus,

If we let x be the minimum length of the ramp. Then,

Substituting the value of slope into the above equation results in,

Solve for value of x by cross-products

X = 18 Feet

Thus, the minimum length of the ramp needed to provide access to a door that is 1.5 high is 18 feet.
Q #2: Which of the following values is the greatest?

A. 3/7

B. 6.98

C. 10/7

D. 9.2

Answer Explanation

To find the greatest number from the given options, convert the decimal numbers into fractions.

6.98 becomes 698/100

9.2 becomes 92/10

The least common denominator for the denominators of 7, 100 and 10 is 700. Now we can multiply each fraction with 700 as follows:

3/7*700=300

698/100*700=4886

10/7*700=1000

92/10*700=6440

In order from the smallest to largest, we organize the number set as follows:

3/7, 10/7, 6.98, 9.2.

Thus, 9.2 is the greatest of all.
Q #3: -2/3, -0.5, -1.5, -4/9 Of the number listed above, which number is the greatest?

A. -0.5

B. -4/9

C. -1.5

D. -2/3

Answer Explanation

Before finding the greatest number from the data set, the numbers need to be in fraction form.

-0.5=-5/10

-1.5=-15/10

The set of numbers becomes -2/3, -5/10, -15/10, -4/9

Now the least common denominator for 3, 10, and 9 is 90, which will be used to multiplied by the given fractions as follows:

-2/3*90=-60

-5/10*90=-45

-15/10*90=-135

-4/9*90=-40

From the above evaluations, the resulting numbers arranged from the smallest to the largest is -135, -60, -45, -40. Thus, the greatest number from the data set is -40, with a corresponding fraction of -4/9.