Answer :
To solve the problem of finding the weight that Balin could bench press, you should set up and solve the equation properly.
Let's start with the information given:
- Jasper was able to bench press 224 pounds.
- This weight, 224 pounds, is [tex]\(\frac{7}{8}\)[/tex] of what Balin could bench press.
We need to find Balin's bench press weight, which we'll call [tex]\(x\)[/tex]. Based on the problem, the equation to model this situation is:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
To solve for [tex]\(x\)[/tex], we need to isolate it. We do this by dividing both sides of the equation by [tex]\(\frac{7}{8}\)[/tex], which is the same as multiplying by its reciprocal [tex]\(\frac{8}{7}\)[/tex]:
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
Carrying out the multiplication gives us:
[tex]\[
x = 256
\][/tex]
Therefore, Balin was able to bench press 256 pounds. So, the correct equation and value of [tex]\(x\)[/tex] are:
[tex]\[
\frac{7}{8} x = 224 ; x = 256 \text{ pounds}
\][/tex]
The correct option is:
[tex]\(\frac{7}{8} x=224 ; x=256\)[/tex] pounds.
Let's start with the information given:
- Jasper was able to bench press 224 pounds.
- This weight, 224 pounds, is [tex]\(\frac{7}{8}\)[/tex] of what Balin could bench press.
We need to find Balin's bench press weight, which we'll call [tex]\(x\)[/tex]. Based on the problem, the equation to model this situation is:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
To solve for [tex]\(x\)[/tex], we need to isolate it. We do this by dividing both sides of the equation by [tex]\(\frac{7}{8}\)[/tex], which is the same as multiplying by its reciprocal [tex]\(\frac{8}{7}\)[/tex]:
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
Carrying out the multiplication gives us:
[tex]\[
x = 256
\][/tex]
Therefore, Balin was able to bench press 256 pounds. So, the correct equation and value of [tex]\(x\)[/tex] are:
[tex]\[
\frac{7}{8} x = 224 ; x = 256 \text{ pounds}
\][/tex]
The correct option is:
[tex]\(\frac{7}{8} x=224 ; x=256\)[/tex] pounds.
