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
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.
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
-
Q #1: 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.
-
Q #2: Simplify the expression below. Which of the following is correct? 3.45 * 0.53
A. 1.8285
B. 18.285
C. 0.18285
D. 182.85
Answer Explanation
To solve the equation this equation, we use a calculator and find the product as:
3.45 * 0.53 = 1.8285
-
Q #3: 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
Answer Explanation
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
-
Q #4: 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.
-
Q #5: If a box of 55 syringes costs $660.00, which of the following is the cost of four syringes?
A. $51.00
B. $26.00
C. $32.00
D. $48.00
Answer Explanation
: the question requires we find the cost of four syringes.
If we let x be the cost of four syringes, then we set up a proportion equation with cost as numerator and number of syringes as denominator. The proportion equation becomes
Cross-multiply to solve for x
Rearranging the above
Divide both sides of the equation by 55
Thus, the cost of 4 syringes is $48.
-
Q #6: 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.
-
Q #7: Which of the following is the correct decimal placement for the product of 1.6*0.93?
A. 14.88
B. 0.1488
C. 1.488
D. 0.001488
Answer Explanation
We use a calculator to find the product of
1.6*0.93=1.488
-
Q #8: 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
-
Q #9: An athlete runs 5 miles in 25 minutes and then changes their pace to run the next 3 miles in 15 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?
A. 7 minutes
B. 5 minutes
C. 6.5 minutes
D. 8.5 minutes
Answer Explanation
to find the average time the athlete runs in 1 mile, find total time divided by total distance covered in the two runs.
Total distance=5+3=8 miles
Total time=25+15=40 minutes
We now know that the athlete runs 8 miles in 40 minutes, so the time the athlete will run in 1 mile will be:
In 5 minutes, the athlete runs 1 mile.
-
Q #10: The table below shows the student’s score at the end of the semester. Which of the following would best display the data? Subject Math Chemistry Biology Physics English Test scores 90 72 85 95 63
A. Stem and leaf plot
B. Line graph
C. Bar graph
D. Scatter plot
Answer Explanation
The best way to visualize the student’s score for each subject is to plot them using a bar graph.
