A consumer recently purchased a new car and paid $48,000. This amount is $2,000 less than twice what the consumer’s friend paid for their car. Which of the following is the amount that the friend paid for their car?
A. $23,000
B. $46,000
C. $25,000
D. $50,000
Let the amount the friend pays be x. Then, 2 times what the friend pays is 2x. Less $2,000 what the friend pays is 2x-2000.
Now we know that
2x-2000=48000
Add 2000 to both sides of the equation
2x-2000+2000=48000+2000
2x+2000-2000=50000
2x=50000
Divide both sides by 2
X=25000
Thus, the friend pays $25,000 for their car.
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: Which of the following is the correct simplification of the expression below? 12 ÷ 3 * 4 - 1 + 23
A. 6
B. 21
C. 38
D. 23
Answer Explanation
Use the order of operations to solve the given equation. The acronym PEDMAS will help us to solve the given problem.
P- Parenthesis
E-Exponents
D-Divide
M-Multiply
A-Add
S-Subtract
From the given equation start with solving :-
12 ÷3 * 4 - 1 + 23
Next, carry out division 12÷3=4
4*4-1+23
Multiply is 4*4=16
16-1+23
Add or subtract can be conducted in any order. From left to right, we subtract followed by addition
Subtract 16-1=15
15+23
The last step is to add 15+23
15+23=38
Thus, the answer to the given equation is 38.
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Q #2: A teacher asked all the students in the class which days of the week they get up after 8 a.m. Which of the following is the best way to display the frequency for each day of the week?
A. Histogram
B. Pie graph
C. Bar graph
D. Scatter plot
Answer Explanation
The best way to display the frequency of each day of the week when students get up after 8 a.m. is by using a bar graph. Bar graphs are well-suited for representing categorical data, where each day of the week is a separate category, and the height of each bar corresponds to the count or frequency of students waking up late on that specific day.
Note: Histograms, on the other hand, are more appropriate for visualizing continuous or numerical data and are not ideal for categorical data like days of the week. Histograms are useful for understanding the distribution of data, identifying patterns, and assessing the shape of the data distribution, such as whether it's normally distributed, skewed, or has multiple modes.
As you can see below, the Histogram is used to depict a pattern/continuous/range data. While a bar graph does just fine even with discrete data.
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Q #3: Which of the following values is the greatest?
A. 4.25
B. 10/3
C. 4.4
D. 9/2
Answer Explanation
To compare the given values, convert them to the same number format. In this case, convert the given fractions into equivalent decimals.
10/3=3.3333…..
9/2=4.5
Thus, the numbers become 4.25, 3.333…, 4.4, 4.5
Now arranging them in ascending order becomes 3.333…., 4.25, 4.4, 4.5
From the above, 4.5 is the greatest value.
