A survey of 500 teenagers was taken to see which sport was the favorite to watch on television. The pie chart above represents the results. Which of the following data sets (number of teenagers) was used to develop the pie chart?

A. Basketball, 120: football, 190: hockey, 90: soccer, 80: other 20

B. Basketball, 120: football, 190: hockey, 80: soccer, 90: other 20

C. Basketball, 190: football, 120: hockey, 90: soccer, 80: other 20

D. Basketball, 240: football, 380: hockey 160: soccer, 180: other 40

Answer Explanation:

The whole pie chart represents 100%, which we use together with the given percentages to find the respective different sports. Note that 100% is equal to 500 surveyed students. The, the number of teenagers who prefer:

Soccer

Hockey

Football

Basketball

Other

From the evaluations above, 90 teenagers love soccer, 80 love hockey, 190 teenagers love football, 120 teenagers love basketball, and 20 teenagers love others.

Therefore, the Correct Answer is B.

Q #1: Four hundred milligrams is equal to how many grams?

A. 4 g

B. 0.4 g

C. 400,000 g

D. 0.00004 g

Answer Explanation

we are asked to change 400 mg to g. We use the conversion 1g=1000mg, which we can write as:

So, 400 mg to g becomes
Q #2: An employee discovers that 0.0025 of all products produced at a factory contain defects. Which of the following percentage does this represent?

A. 0.25%

B. 25%

C. 2.5%

D. 0.025%

Answer Explanation

all products represent 100%. Then, the portion of defect products is:

0.0025 of 100%

‘of’ means multiply

0.0025 *100%=0.25%
Q #3: A family is planning a driving vacation and is estimating the price of gasoline. While on the vacation, the family plans to drive 3,000 miles. The car gets about 25 miles per gallon, and the cost of gasoline is $1.66 per gallon. Which of the following is the estimate for cost of gasoline for the vacation?

A. $120.00

B. $41.50

C. $72.29

D. $199.20

Answer Explanation

We solve the problem by first finding the amount of gallons needed for the whole trip then find the cost of the gallon.

The car uses 1 gallon to cover 25 miles, which is same as:

Now, in 3000 miles, the car will use how many gallons of gasoline?

A trip of 3000 miles will need 120 gallons. And to find the cost of 120 gallons, we proceed as follows:

The family will spend $199.20 to drive for 3000 miles.