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Answer :
To solve the problem, let's determine how much weight Balin could bench press.
We know that Jasper was able to bench press 224 pounds, which was [tex]\(\frac{7}{8}\)[/tex] of the weight that Balin could press. We need to find the weight Balin could press and represent this with the variable [tex]\(x\)[/tex].
The given relationship can be set up as an equation:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
To find [tex]\(x\)[/tex], the weight Balin could press, we need to solve the equation for [tex]\(x\)[/tex]. To do this, we 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]
Now, calculate:
[tex]\[
x = 224 \times \frac{8}{7} = 256
\][/tex]
So, the weight that Balin could bench press is 256 pounds.
Therefore, the correct equation and value of [tex]\(x\)[/tex] is:
[tex]\[
\frac{7}{8} x = 224 ; x = 256 \text{ pounds}
\][/tex]
We know that Jasper was able to bench press 224 pounds, which was [tex]\(\frac{7}{8}\)[/tex] of the weight that Balin could press. We need to find the weight Balin could press and represent this with the variable [tex]\(x\)[/tex].
The given relationship can be set up as an equation:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
To find [tex]\(x\)[/tex], the weight Balin could press, we need to solve the equation for [tex]\(x\)[/tex]. To do this, we 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]
Now, calculate:
[tex]\[
x = 224 \times \frac{8}{7} = 256
\][/tex]
So, the weight that Balin could bench press is 256 pounds.
Therefore, the correct equation and value of [tex]\(x\)[/tex] is:
[tex]\[
\frac{7}{8} x = 224 ; x = 256 \text{ pounds}
\][/tex]
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