Answer :
To find out how much weight Balin could bench press, we start with the information given: Jasper was able to bench press 224 pounds, which was [tex]\(\frac{7}{8}\)[/tex] of the weight that Balin was able to bench press. Let's set up an equation to solve for [tex]\(x\)[/tex], which represents the weight Balin could bench press.
The equation given is:
[tex]\[
\frac{7}{8} \cdot x = 224
\][/tex]
To solve for [tex]\(x\)[/tex], we need to isolate it on one side of the equation. We can do this by multiplying both sides 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 let's calculate:
[tex]\[
x = 224 \times \frac{8}{7} = 256
\][/tex]
Therefore, the correct equation and value of [tex]\(x\)[/tex], the weight that Balin could bench press, is:
[tex]\[
\frac{7}{8} x = 224 ; x = 256 \text{ pounds}
\][/tex]
The equation given is:
[tex]\[
\frac{7}{8} \cdot x = 224
\][/tex]
To solve for [tex]\(x\)[/tex], we need to isolate it on one side of the equation. We can do this by multiplying both sides 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 let's calculate:
[tex]\[
x = 224 \times \frac{8}{7} = 256
\][/tex]
Therefore, the correct equation and value of [tex]\(x\)[/tex], the weight that Balin could bench press, is:
[tex]\[
\frac{7}{8} x = 224 ; x = 256 \text{ pounds}
\][/tex]
