Answer :
To find out the weight that Balin could bench press, let's set up the equation based on the information given.
We know that Jasper bench pressed 224 pounds, which is [tex]\(\frac{7}{8}\)[/tex] of what Balin bench pressed. Let's call the weight that Balin bench pressed [tex]\(x\)[/tex].
The equation that represents this situation is:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
To solve for [tex]\(x\)[/tex], we need to isolate it on one side of the equation. We can do this by dividing both sides by [tex]\(\frac{7}{8}\)[/tex]:
[tex]\[
x = \frac{224}{\frac{7}{8}}
\][/tex]
Dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite the equation as:
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
Now, let's multiply:
[tex]\[
x = 224 \times \frac{8}{7} = 256
\][/tex]
Therefore, the weight that Balin could bench press is 256 pounds. So, the correct equation and value of [tex]\(x\)[/tex] is:
[tex]\(\frac{7}{8} x = 224 ; x = 256\)[/tex] pounds.
We know that Jasper bench pressed 224 pounds, which is [tex]\(\frac{7}{8}\)[/tex] of what Balin bench pressed. Let's call the weight that Balin bench pressed [tex]\(x\)[/tex].
The equation that represents this situation is:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
To solve for [tex]\(x\)[/tex], we need to isolate it on one side of the equation. We can do this by dividing both sides by [tex]\(\frac{7}{8}\)[/tex]:
[tex]\[
x = \frac{224}{\frac{7}{8}}
\][/tex]
Dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite the equation as:
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
Now, let's multiply:
[tex]\[
x = 224 \times \frac{8}{7} = 256
\][/tex]
Therefore, the weight that Balin could bench press is 256 pounds. So, the correct equation and value of [tex]\(x\)[/tex] is:
[tex]\(\frac{7}{8} x = 224 ; x = 256\)[/tex] pounds.
