A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. Which of the following is the estimated gratuity?
A. $4.00
B. $6.00
C. $5.00
D. $7.00
When dealing with percent problems, the following is utilized to find the unknown variable.
- Is means equals
- Of means multiply
- What means unknown (variable)
From the problem above, we are looking for the amount of gratuity the couple can leave.
Let t be the amount of gratuity. Translating into an equation, we have
The gratuity is 15% of the total bill, which becomes
Here, of means multiply and we also convert percent into decimal before multiplying.
So, the value of t=5.76
Thus, a couple will leave a gratuity of $5.76, which is about $6.00.
Therefore, the Correct Answer is B.
More Questions on TEAS 7 Math
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Q #1: How may milliliters are there in 0.5 liters?
A. 500
B. 50
C. 5
D. 5000
Answer Explanation
We use 1 L =1000 mL to convert between the two units. The conversion fractions of interconverting are:
And
Since we want to end up with millimeters, the second conversion is used in converting L to mL as:
Thus, 0.5 L is equivalent to 500 mL.
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Q #2: A bucket can hold 3 L. How many ml can the bucket hold?
A. 3000 mL
B. 300 mL
C. 30 mL
D. 0.003 mL
Answer Explanation
to change L to mL we use the following options of interconversions:
Or
Since we are needed to change L to mL, use the second option.
Thus, a bucket can hold 3000 mL which is equal to 3 L.
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Q #3: A child has collected 50 pennies, 45 nickels, 25 dimes, and 5 quarters. Which of the following charts accurately organizes the number of coins?
A. A
B. B
C. C
D. D
Answer Explanation
In this scenario, we use the given scale in the charts to find the number of each coin and selected the right number of coins the student collected. The second options shows that the child collected 50 pennies, 45 nickels, 25 dimes, and 5 quarters.
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Q #4: A student performs the following estimations. 24+190≈210 151+319≈470 974+1022≈1990 Based on these estimations, which of the following is the student’s estimate of 452+5017?
A. 5470
B. 5500
C. 5400
D. 5450
Answer Explanation
from the given estimations, we can find the actual addition of the numbers and see a trend the student utilizes to find their estimates. The exact sum is as follows
24+190=214
151+319=470
974+1022=1996
From the above evaluation, we can clearly see the students approximates the value in the ones values. So, in the problem we need to approximate 452+5017.
452+5017=5469
We can approximate 5469 based on the provided choices to 5470.
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Q #5: A recipe calls for 2.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
A. 5.33 mL
B. 12.325 mL
C. 7.43 mL
D. 0.507 mL
Answer Explanation
We need to find how many mL are in 2.5 teaspoons. We need to use dimensional analysis to solve this problem as follows.
Converting between teaspoon and mL uses the following conversions:
Or
We want to end up with mL, we utilize the second conversion and set up the following equation.
Thus, 2.5 teaspoons can hold 12.325 mL.
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Q #6: A class of 28 students has 13 boys and 15 girls. What is ratio of girls to boys in the class?
A. 15:28
B. 13:15
C. 13:28
D. 15:13
Answer Explanation
a ratio can be converted to a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.
From the given information, the class has 15 girls and 13 boys. Thus, the ratio of girls to boys becomes:
In ratio form, girls: boys=15:13
Thus, the ratio of girls to boys in a class of 28 students is 15 to 13.
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Q #7: Which of the following is the weight of the cargo in a truck if 1/3 of the cargo weighs 516 pounds (lb)?
A. 172 lb
B. 1032 lb
C. 1548 lb
D. 688 lb
Answer Explanation
In this problem, we assume the truck carries a whole cargo. Thus, total weight is 516 lb divided by 1/3. Thus,
We change the division sign to product and multiply 516 by reciprocal of 1/3. Then,
The weight of the cargo will be 1548 lbs.
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Q #8: 2(4x+3)=7x+5 Solve the equation above for x. Which of the following is correct?
A. 1
B. 2
C. -1
D. 11
Answer Explanation
we follow the order operations to solve for the unknown value of x.
2(4x+3)=7x+5
Open the bracket on the LHS by multiplying each term by 2
(2*4x)+(2*3)=7x+5
8x+6=7x+5
Subtract 6 from both sides
8x+6-6=7x+5-6
8x=7x-1
Subtract 7x on both sides
8x-7x=7x-7x-1
X=-1
Thus, the value of unknown value of x is -1.
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Q #9: Which of the following relationships represents a positive correlation between two variables?
A. As a student’s class attendance decreases, the student’s overall grade remains the same
B. As the number of hours a person exercises decreases, the weight of that person increases
C. As the number of miles driven increases, the amount of the gasoline in the tank decreases
D. As the amount of water plant receives increases, the growth rate of the plant increase.
Answer Explanation
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a negative correlation
Option c is a negative correlation
Option d is a positive correlation
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Q #10: The data below represents students’ test scores. Which of the following is the median of the set data? 11, 12, 18, 14, 22, 17, 17, 12, 26, 12, 13
A. 15
B. 12
C. 14
D. 15.8
Answer Explanation
the median of a data set is the element that is found on the middle position. It is found by organizing the elements from the smallest to largest.
The data set above arranged from the smallest to largest is:
11, 12, 12, 12, 13, 14, 17, 17, 18, 22, 26
The number of elements is odd and the median is found in the (N+1)/2 th position. Here N=11, and the median falls in (11+1)/2=12/2=6 th position.
The element 14 falls in the 6th position, which is our median of the given data set.
