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Answer :
To solve the problem, we want to find out how much weight Balin can bench press, given that 224 pounds is [tex]\(\frac{7}{8}\)[/tex] of that weight. We can set up the equation and solve for [tex]\(x\)[/tex], which represents the weight that Balin can bench press.
1. Set up the equation:
The problem states that 224 pounds is [tex]\(\frac{7}{8}\)[/tex] of Balin's weight, so we write:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
2. Solve for [tex]\(x\)[/tex]:
To isolate [tex]\(x\)[/tex], multiply both sides of the equation by the reciprocal of [tex]\(\frac{7}{8}\)[/tex], which is [tex]\(\frac{8}{7}\)[/tex]:
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
3. Calculate the value:
Perform the multiplication:
[tex]\[
x = 256
\][/tex]
So, Balin can bench press 256 pounds. Therefore, the correct answer is:
[tex]\(\frac{7}{8} x = 224, x = 256\)[/tex] pounds.
1. Set up the equation:
The problem states that 224 pounds is [tex]\(\frac{7}{8}\)[/tex] of Balin's weight, so we write:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
2. Solve for [tex]\(x\)[/tex]:
To isolate [tex]\(x\)[/tex], multiply both sides of the equation by the reciprocal of [tex]\(\frac{7}{8}\)[/tex], which is [tex]\(\frac{8}{7}\)[/tex]:
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
3. Calculate the value:
Perform the multiplication:
[tex]\[
x = 256
\][/tex]
So, Balin can bench press 256 pounds. Therefore, the correct answer is:
[tex]\(\frac{7}{8} x = 224, x = 256\)[/tex] pounds.
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