A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, three times as many as nickels as pennies, and six times as many dimes as nickels. How many more dimes does the child have than quarters?

A. 10 times as many

B. 5 times as many

C. 6 times as many

D. 9 times as many

Answer Explanation:

In this task, we use the relation from the given scenario to compare the number of dimes to quarters.

If we let p be number of pennies in the bottle. Then,

Number of quarters in the bottle = 2p

Number of nickels in the bottle = 3p

Number of dimes in the bottle =6(3p)=18p

Now relating dimes to quarters, we have

Thus, there are 9 times as many dimes as quarters in the box.

Therefore, the Correct Answer is D.

Q #1: 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.
Q #2: 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 #3: A bag contains six green balls, eight red balls, and three yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is green?

A. 10/17

B. 3/17

C. 2/17

D. 6/17

Answer Explanation

The probability of finding a green ball is given by

Total number of balls in the bag=6+8+3=17 balls

Therefore, the probability of drawing a green ball from the bag containing 17 balls is 6/17.