Answer :
To solve this problem, we need to find the weight Balin could bench press. We know that Jasper was able to bench press 224 pounds, which was [tex]\(\frac{7}{8}\)[/tex] of the weight that Balin could bench press.
Let's represent the weight Balin could bench press as [tex]\(x\)[/tex].
The problem gives us the equation:
[tex]\[
\frac{7}{8}x = 224
\][/tex]
We need to solve for [tex]\(x\)[/tex], the weight Balin could bench press. To do this, we'll perform the following steps:
1. Isolate [tex]\(x\)[/tex]: To find [tex]\(x\)[/tex], we need to get rid of the fraction [tex]\(\frac{7}{8}\)[/tex]. We 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].
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
2. Calculate the Value of [tex]\(x\)[/tex]:
[tex]\[
x = \frac{224 \times 8}{7}
\][/tex]
[tex]\[
x = \frac{1792}{7}
\][/tex]
[tex]\[
x = 256
\][/tex]
So, the weight that Balin could bench press is 256 pounds.
The correct equation and value of [tex]\(x\)[/tex] is:
[tex]\[
\frac{7}{8}x = 224; \, x = 256 \, \text{pounds}
\][/tex]
Let's represent the weight Balin could bench press as [tex]\(x\)[/tex].
The problem gives us the equation:
[tex]\[
\frac{7}{8}x = 224
\][/tex]
We need to solve for [tex]\(x\)[/tex], the weight Balin could bench press. To do this, we'll perform the following steps:
1. Isolate [tex]\(x\)[/tex]: To find [tex]\(x\)[/tex], we need to get rid of the fraction [tex]\(\frac{7}{8}\)[/tex]. We 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].
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
2. Calculate the Value of [tex]\(x\)[/tex]:
[tex]\[
x = \frac{224 \times 8}{7}
\][/tex]
[tex]\[
x = \frac{1792}{7}
\][/tex]
[tex]\[
x = 256
\][/tex]
So, the weight that Balin could bench press is 256 pounds.
The correct equation and value of [tex]\(x\)[/tex] is:
[tex]\[
\frac{7}{8}x = 224; \, x = 256 \, \text{pounds}
\][/tex]
