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Answer :
To find out how much each desk weighs, we need to set up an equation using the information provided:
1. Let's denote the weight of each desk as [tex]\( x \)[/tex].
2. We know there are three desks, so the combined weight of the desks is [tex]\( 3x \)[/tex].
3. Additionally, we have a bookcase that weighs 34 pounds.
4. The total weight of the three desks and the bookcase is 157 pounds.
We can use this information to set up the equation:
[tex]\( 3x + 34 = 157 \)[/tex]
This equation represents the total weight, where [tex]\( 3x \)[/tex] is the weight of the three desks and 34 is the weight of the bookcase.
Now, you can solve for [tex]\( x \)[/tex] to find the weight of each desk:
1. Subtract 34 from both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[
3x + 34 - 34 = 157 - 34
\][/tex]
[tex]\[
3x = 123
\][/tex]
2. Divide both sides by 3 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{123}{3}
\][/tex]
[tex]\[
x = 41
\][/tex]
Therefore, each desk weighs 41 pounds. The correct equation to find the weight of each desk is [tex]\( 3x + 34 = 157 \)[/tex].
1. Let's denote the weight of each desk as [tex]\( x \)[/tex].
2. We know there are three desks, so the combined weight of the desks is [tex]\( 3x \)[/tex].
3. Additionally, we have a bookcase that weighs 34 pounds.
4. The total weight of the three desks and the bookcase is 157 pounds.
We can use this information to set up the equation:
[tex]\( 3x + 34 = 157 \)[/tex]
This equation represents the total weight, where [tex]\( 3x \)[/tex] is the weight of the three desks and 34 is the weight of the bookcase.
Now, you can solve for [tex]\( x \)[/tex] to find the weight of each desk:
1. Subtract 34 from both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[
3x + 34 - 34 = 157 - 34
\][/tex]
[tex]\[
3x = 123
\][/tex]
2. Divide both sides by 3 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{123}{3}
\][/tex]
[tex]\[
x = 41
\][/tex]
Therefore, each desk weighs 41 pounds. The correct equation to find the weight of each desk is [tex]\( 3x + 34 = 157 \)[/tex].
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