Answer :
To find out how much weight Balin could bench press, we know that Jasper's bench press was [tex]\(\frac{7}{8}\)[/tex] of Balin's bench press. Here's how we solve for [tex]\(x\)[/tex], the weight that Balin can bench press:
1. Set up the equation: Based on the problem, we have [tex]\(\frac{7}{8} \times x = 224\)[/tex], where 224 pounds is the weight Jasper could bench press.
2. Solve for [tex]\(x\)[/tex]: To isolate [tex]\(x\)[/tex], we need to get rid of the fraction by multiplying both sides of the equation by the reciprocal of [tex]\(\frac{7}{8}\)[/tex]. The reciprocal of [tex]\(\frac{7}{8}\)[/tex] is [tex]\(\frac{8}{7}\)[/tex].
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
3. Calculate the result: Multiply 224 by [tex]\(\frac{8}{7}\)[/tex].
[tex]\[
x = 224 \times \frac{8}{7} = 256
\][/tex]
Thus, Balin could bench press 256 pounds.
The correct equation and value of [tex]\(x\)[/tex] is:
[tex]\[
\frac{7}{8} x = 224 ; \quad x = 256 \text{ pounds}
\][/tex]
1. Set up the equation: Based on the problem, we have [tex]\(\frac{7}{8} \times x = 224\)[/tex], where 224 pounds is the weight Jasper could bench press.
2. Solve for [tex]\(x\)[/tex]: To isolate [tex]\(x\)[/tex], we need to get rid of the fraction by multiplying both sides of the equation by the reciprocal of [tex]\(\frac{7}{8}\)[/tex]. The reciprocal of [tex]\(\frac{7}{8}\)[/tex] is [tex]\(\frac{8}{7}\)[/tex].
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
3. Calculate the result: Multiply 224 by [tex]\(\frac{8}{7}\)[/tex].
[tex]\[
x = 224 \times \frac{8}{7} = 256
\][/tex]
Thus, Balin could bench press 256 pounds.
The correct equation and value of [tex]\(x\)[/tex] is:
[tex]\[
\frac{7}{8} x = 224 ; \quad x = 256 \text{ pounds}
\][/tex]
