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Answer :
Sure! Let's solve the problem step-by-step:
Jasper was able to bench press 224 pounds, which is [tex]\(\frac{7}{8}\)[/tex] of the weight that Balin could bench press. We need to find how much weight Balin could bench press, which we'll call [tex]\(x\)[/tex].
1. Set up the equation based on the given information:
[tex]\[
\frac{7}{8}x = 224
\][/tex]
2. To find [tex]\(x\)[/tex], you need to isolate it on one side of the equation. You can do this by multiplying both sides of the equation by [tex]\(\frac{8}{7}\)[/tex], which is the reciprocal of [tex]\(\frac{7}{8}\)[/tex]:
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
3. Calculate the value on the right side:
[tex]\[
x = 224 \times \frac{8}{7} = 256
\][/tex]
So, Balin could bench press 256 pounds.
Therefore, the correct equation and the value of [tex]\(x\)[/tex] are:
[tex]\(\frac{7}{8}x = 224 ; x = 256\)[/tex] pounds.
Jasper was able to bench press 224 pounds, which is [tex]\(\frac{7}{8}\)[/tex] of the weight that Balin could bench press. We need to find how much weight Balin could bench press, which we'll call [tex]\(x\)[/tex].
1. Set up the equation based on the given information:
[tex]\[
\frac{7}{8}x = 224
\][/tex]
2. To find [tex]\(x\)[/tex], you need to isolate it on one side of the equation. You can do this by multiplying both sides of the equation by [tex]\(\frac{8}{7}\)[/tex], which is the reciprocal of [tex]\(\frac{7}{8}\)[/tex]:
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
3. Calculate the value on the right side:
[tex]\[
x = 224 \times \frac{8}{7} = 256
\][/tex]
So, Balin could bench press 256 pounds.
Therefore, the correct equation and the value of [tex]\(x\)[/tex] are:
[tex]\(\frac{7}{8}x = 224 ; x = 256\)[/tex] pounds.
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