Answer :
To find out how much weight Balin could bench press, we need to solve the equation given in the problem. We know that Jasper bench pressed 224 pounds, which is [tex]\(\frac{7}{8}\)[/tex] of Balin's bench press weight.
Here's the equation modeled after this situation:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
To find [tex]\(x\)[/tex], which is the weight Balin could bench press, we need to get [tex]\(x\)[/tex] by itself on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of [tex]\(\frac{7}{8}\)[/tex], which is [tex]\(\frac{8}{7}\)[/tex].
Here are the steps:
1. Multiply both sides by [tex]\(\frac{8}{7}\)[/tex]:
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
2. Perform the multiplication:
[tex]\[
x = 256
\][/tex]
Therefore, the correct equation and value for [tex]\(x\)[/tex], the weight that Balin could bench press, is:
[tex]\[
\frac{7}{8} \times x = 224 ; \quad x = 256 \text{ pounds}
\][/tex]
So, the correct choice is:
[tex]\[\frac{7}{8} x=224 ; x=256 \text{ pounds}\][/tex]
Here's the equation modeled after this situation:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
To find [tex]\(x\)[/tex], which is the weight Balin could bench press, we need to get [tex]\(x\)[/tex] by itself on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of [tex]\(\frac{7}{8}\)[/tex], which is [tex]\(\frac{8}{7}\)[/tex].
Here are the steps:
1. Multiply both sides by [tex]\(\frac{8}{7}\)[/tex]:
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
2. Perform the multiplication:
[tex]\[
x = 256
\][/tex]
Therefore, the correct equation and value for [tex]\(x\)[/tex], the weight that Balin could bench press, is:
[tex]\[
\frac{7}{8} \times x = 224 ; \quad x = 256 \text{ pounds}
\][/tex]
So, the correct choice is:
[tex]\[\frac{7}{8} x=224 ; x=256 \text{ pounds}\][/tex]
