A sweater that normally sells for $78 is marked 15% off. Which of the following estimates the sale price of the sweater?
A. $12
B. $66
C. $22
D. $69
we are to find the selling price of the sweater from the marked price and the discount. The marked price is given as
Discount=mark off rate*original price
Discount=15%*$78
Convert 15% into a fraction, which become 15/100=0.15. Then
Discount=0.15*$78=$11.70
The selling price of the sweater will be the original price less the discount or mark off value. Then,
Thus, the approximate selling price of the sweater is $66.
Therefore, the Correct Answer is B.
More Questions on TEAS 7 Math
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Q #1: Which of the following is the greatest value?
A. 43÷55
B. 5/7
C. 0.729
D. 73%
Answer Explanation
we are asked to find the largest value from the options given. To solve this problem, we need to convert all the given values into fraction. Then find the least common denominator for all fractions, which we will use to multiply each fraction and make a comparison.
43÷
55=43/555/7
0.729=729/1000
73%=73/100
Now, we need to find the least common denominator of 55, 7, 1000, and 100, which is 77000. We multiply each fraction by 77000 as follows:
43/55*77000=60200
5/7*77000=55000
729/1000*77000=56133
73/100*77000=56210
From the calculated values, it can be noted that 43/55 is the greatest value among the given options.
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Q #2: One gallon of cleaning solution requires 6 oz of ammonia. If the maintenance department needs 230 gallons of solution to clean all of the floors, how much ammonia is needed?
A. 1380 gallons
B. 6900 gallons
C. 1380 oz
D. 1400 oz
Answer Explanation
from the given data, one gallon of cleaning solution requires 6 oz of ammonia. The mathematical expression of this statement can be expressed in two ways:
Or
The question requires we find the amount of ammonia needed to make 230 gallons of the solution. So, we use the second option and proceed as follows:
From the above equation, gallon of solution will cancel, and oz of ammonia is left.
Therefore, the solution will require 1380 oz of ammonia.
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Q #3: 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 #4: A teacher earns $730.00 per week before any tax deductions. The following taxes are deducted each week: $72.00 federal income tax, $35.00 state income tax, and $65.00 Social Security tax. How much will the teacher make in 4 weeks after taxes are deducted?
A. $2,250.00
B. $2,550.00
C. $2,400.00
D. $2,232.00
Answer Explanation
The net income is the salary of the teacher gets after deducting total taxes.
Weekly net income=weekly gross income-total tax
Total tax=federal income tax+state income tax+Social Security tax
Total tax=$(72.00+35.00+65.00)
Total tax=$172.00
Weekly net income=$(730.00-172.00)=$558.00
The net income the teacher gets in 4 weeks is what she gets in one week multiplied by 4
The teacher will earn a net income of $2,232.00 in 4 weeks after taxes are deducted.
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Q #5: 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
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Q #6: "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 #7: Which of the following relationships represents a no 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
Thus, the correct statement is a.
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Q #8: 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 #9: A student performs the following estimations. 26+180210 115+391510 497+20242520 Based on these estimations, which of the following is the student’s estimate of 545+7501?
A. 8030
B. 8060
C. 8160
D. 8050
Answer Explanation
From the given estimations, we can find the exact sum after adding the given numbers and see the trend the student utilizes to find their estimates. The actual sum is as follows
26+180=
206115+391=
506497+2024=
2521From the above evaluation, the students round the exact sum to the nearest tens. So, in the problem we need to approximate 545+7501.
545+7501=8046
The exact sum is 8046 and the approximate value after rounding to the nearest tens is 8050.
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Q #10: 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
