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
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.
More Questions on TEAS 7 Math
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Q #1: Pat deposits $600 in a savings account at a simple interest rate 6% per year for 5 years. How much money will Pat have earned in interest at the end of 5 years?
A. $360
B. $180
C. $95
D. $36
Answer Explanation
In the simple interest, we utilize the following formula to find the simple interest after a period of time in years.
I=P*r*t
I is the interest
P=Principal or initial deposit
r=rate
t=time in years
From the given problem, P=$600, r=6%=6/100=0.06, t=5 years. Then
I=$600*0.06*5=$180
After 5 years, Pat will earn an interest of $180.
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Q #2: 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.
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Q #3: Which of the following values is the greatest?
A. 9/2
B. 10/3
C. 4.4
D. 4.25
Answer Explanation
We are given a mix of fractions and decimals and to compare the numbers, we convert the given decimals to fractions.
4.4 becomes 44/10
4.25 becomes 425/100
Now the set of fractions for comparison are: 9/2, 10/3, 44/10, and 425/100. The least common denominator for 2, 3 and 10 is 300. Then,
9/2*300=1350
10/3*300=1000
44/10*300=1320
425/10*300=1275
From the above products, 9/2 gives the greatest value when the fractions are compared with the least common denominator of the given denominators.
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Q #4: Using the table below, which of the following statements describes the relationship between days and dollars?
A. There is a positive correlation between days and dollars
B. There is a negative correlation between days and dollars
C. There is an inverse correlation between days and dollars
D. There is no correlation between days and dollars
Answer Explanation
To answer this question, we need to observe the trend of the number of days with dollars. On day 2, the dollars were 8, after 5 days, the dollars decreased to 3, after 13 days, the dollars increased to 10. After 14 days, the dollars declined to 6 and again rose to 16 dollars after 19 days.
From this observation, we cannot be able to establish any correlation between days and dollars.
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Q #5: Which of the following is the value of x in the equation below? 4x- 3- 5x=24
A. -27
B. -6
C. 3
D. 21
Answer Explanation
to solve for x, we order like terms together and proceed as follows:
4x-3-5x=24
Add 3 to both sides of the equation
4x-3+3-5x=24+3
4x+3-3-5x=27
4x-5x=27
-x=27
Divide both sides by -1
-x/-1=27/-1
x= -27
Thus, the unknown value of x is -27
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Q #6: The hypotenuse (side C) of a triangle is 13 inches long. Which of the following pairs of measurements could be the correct for the lengths of the other two sides of the triangle? (Note: A2 + B2= C2)
A. 5 inches, 12 inches
B. 2.5 inches, 6 inches
C. 2.5 inches, 4 inches
D. 5 inches, 8 inches
Answer Explanation
In this problem, we take the triangle as a right-angled triangle and label it as follows:
From the Pythagoras theorem A2 + B2= C2, we can look for a combination of A and B that when the squares of A and B are summed give a square of 13. Mathematically,
But C=13 inches
If we take A=5 inches and B=12 inches, then
Next, we take A=2.5 inches, B=6 inches
Next, we take A=2.5 inches, B=4 inches
6.25+16=169
22.25≠169
Taking A=5 inches and B=8 inches
From the above computation, the combination of A=5 inches and B=12 inches give a triangle with a hypothenuse of 13 inches.
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Q #7: A pudding recipe for 50 people calls for 4 cups of sugar. Each bag of sugar contains 6 cups. How many bags of sugar will be needed to make this recipe for 300 people?
A. 8 bags
B. 13 bags
C. 4 bags
D. 24 bags
Answer Explanation
We need to perform a series of numerical dimensional analysis to find the number of bags sugar needed for 300 people.
We are told that 50 people need 4 cups of sugar. This can be interpretated as:
Or
Also, one bag of sugar contains 6 cups. This can also be presented as:
Or
We use the second option relating number of people and cups, and second option relating cups of sugar and bag of sugar to find for number of bags of sugar needed for 300 people.
Therefore, 300 people will need 4 bags of sugar.
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Q #8: Which of the following is the appropriate estimate of 1 teaspoon?
A. 0.5 L
B. 50 mL
C. 5 L
D. 5 mL
Answer Explanation
A teaspoon can approximately hold 5 mL.
Although the capacity of a teaspoon could be more or less, choice D remains the most correct answer as the other choices have amounts too much for a small teaspoon.
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Q #9: 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.
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Q #10: Which of the following is the mean of the set data below? 30, 29, 28, 30, 24, 12, 26, 33, 25, 23
A. 30
B. 21
C. 27
D. 26
Answer Explanation
The mean is the total divided by the number of elements in the data set. From the given data set:
Total=30+29+28+30+24+12+26+33+25+23=260
Number of items, N=10
Mean=total/N=260/10=26
The mean is 26.
