A couple dining at a restaurant receives a bill for $28.40. They wish to leave a 10% tip. Which of the following is the estimated gratuity?
A. $4.00
B. $6.00
C. $2.50
D. $3.00
When solving percent problems, the following words and their meaning becomes handy.
- Is means equals
- Of means multiply
- What means unknown (variable)
If we let x represent the amount of tip the couple want to leave behind, then
So, the couple will leave a tip of $2.84, which is about $3.00
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: A class of 48 students has 22 boys and 26 girls. What is ratio of girls to boys in the class?
A. 26:11
B. 13:11
C. 13:22
D. 11:13
Answer Explanation
: a ratio can be thought of a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.
Now, the class has 26 girls and 22 boys. Thus, the ratio of girls to boys becomes:
The fraction above reduces into
In ratio form, girls: boys=13:11
Thus, the ratio of girls to boys in a class of 48 students is 13 to 11.
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Q #2: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 9 feet and a hypotenuse of 19 feet? (Round to the nearest tenth.)
A. 16.7 feet
B. 16.0 feet
C. 17.4 feet
D. 8.4 feet
Answer Explanation
The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. Letting the unknown side to be x, the labelled rectangle becomes: The unknown length of the triangle is about 16.7 feet.
The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. Letting the unknown side to be x, the labelled rectangle becomes:
The unknown length of the triangle is about 16.7 feet.
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Q #3: Which of the following percentages is equivalent to the fraction below? 3/4
A. 57%
B. 7.5%
C. 65%
D. 75%
Answer Explanation
to convert fraction to percent, multiply the fraction with 100%. Therefore, the percent equivalent of 3/4 is
3/4*100%=75%
Thus, 3/4 is equal to 75%.
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Q #4: Which of the following is the equivalence in pounds for 45 kg? (2.2 lb =1 kg)
A. 120 lb
B. 89 lb
C. 99 lb
D. 90 lb
Answer Explanation
We asked to convert kg to pounds. There are two ways of converting between kg and pounds
And
Since we are to find pounds, we use the second option for kg to cancel
The pound equivalent of 45 kg is 99 lb.
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Q #5: 3(x-2)=12 Solve the equation above for x. Which of the following is the correct answer?
A. 6
B. -2
C. -4
D. 2
Answer Explanation
: In order to solve for the value of x, we use the order of operations as follows:
The first step is to divide both sides by 3
Add 2 to both sides to eliminate it from the left-hand side of the equation
x-2+2=4+2
x = 6
Thus, the value of x is 6.
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Q #6: A couple dining at a restaurant receives a bill for $58.60. They wish to leave a 16% gratuity. Which of the following is the estimated gratuity?
A. $8.48
B. $6.40
C. $9.38
D. $7.00
Answer Explanation
In this problem, we need to find the amount of gratuity the couple will leave. The gratuity is 16% of the total bill. Before solving the problem, the following are terms and their meaning in percent problems:
- Is means equals
- Of means multiply
- What means unknown (variable)
If we let x be the amount of gratuity, then translating the given problem into a mathematical equation becomes:
So, the value of x=9.376 and to the nearest cent, x=9.38
There, a couple will leave a gratuity of $9.38.
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Q #7: Jacob has $100. She spends 87% of the money. She then invests the remaining amount and earns a profit of 75%. How much money does she now have?
A. $13.00
B. $87.00
C. $22.75
D. $9.75
Answer Explanation
We are needed to find the amount Jacob will be left with after spending and reinvesting the rest using the given information.
Amount Jacob spends=87% of $100=87/100*100=$87
Amount left to invest=$(100-87)=$13
Jacob is left with $13, which she invests and earns a profit of 75%.
Profit earned on invested amount=75% of $13=75/100*13=$9.75
So, Jacob will have $13+$9.75=$22.75
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Q #8: Which of the following values is the greatest?
A. 11/2
B. 5.4
C. 13/3
D. 6.25
Answer Explanation
Before we compare the values of the options, we convert the decimals to fractions.
5.4 becomes 54/10
6.25 becomes 625/100
Thus, the set of fractions is 11/2, 54/10, 13/3, 625/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.
11/2*300=1650
54/10*300=1620
13/3*300=1300
625/100*300=1875
From the above, 1875 is the greatest value which corresponds to 6.25. Therefore, 6.25 is the greatest value of all the choices given.
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Q #9: "Twelve less than thrice a number." Which of the following translates the phrase above into a mathematical expression?
A. 3x-12
B. 12-3x
C. 3-12x
D. 12x-3
Answer Explanation
We convert the given word problem into a mathematical expression.
Let the number be x.
Thrice a number = 3x
Twelve less than thrice a number = 3x-12
Thus, the required mathematical expression is 3x-12
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Q #10: A teacher has asked all the students in the class which data visualizer he will use to show relationship between their scores and number of subjects. Which of the following is the best way to display the frequency of each day of the week?
A. Histogram
B. Scatterplot
C. Pie graph
D. Bar graph
Answer Explanation
Histograms are used to present frequency of data of one variable over the other. On the other hand, a bar graph is used to compare the two variables with the rectangles not touching one another as in histograms. Scatter plots are used to show the correlations between two variables. In this case, the teacher will be able to use scatter plot to establish the correlation between test scores and the subjects.
