Answer :
To solve this problem, let's set up the equation based on the information given in the question:
Jasper was able to bench press 224 pounds, which was [tex]\(\frac{7}{8}\)[/tex] of the weight that Balin could bench press. We need to find out how much Balin could bench press, represented by [tex]\(x\)[/tex].
The equation based on the problem is:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
To solve for [tex]\(x\)[/tex], we need to isolate it. 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]:
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
Now, let's perform the multiplication:
1. First, calculate [tex]\(224 \times 8\)[/tex]:
[tex]\[
224 \times 8 = 1792
\][/tex]
2. Now, divide the result by 7:
[tex]\[
1792 \div 7 = 256
\][/tex]
So, the correct weight that Balin could bench press is [tex]\(x = 256\)[/tex] pounds.
Therefore, the correct equation and value of [tex]\(x\)[/tex] is:
[tex]\(\frac{7}{8}x = 224 ; x = 256\)[/tex] pounds
Jasper was able to bench press 224 pounds, which was [tex]\(\frac{7}{8}\)[/tex] of the weight that Balin could bench press. We need to find out how much Balin could bench press, represented by [tex]\(x\)[/tex].
The equation based on the problem is:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
To solve for [tex]\(x\)[/tex], we need to isolate it. 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]:
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
Now, let's perform the multiplication:
1. First, calculate [tex]\(224 \times 8\)[/tex]:
[tex]\[
224 \times 8 = 1792
\][/tex]
2. Now, divide the result by 7:
[tex]\[
1792 \div 7 = 256
\][/tex]
So, the correct weight that Balin could bench press is [tex]\(x = 256\)[/tex] pounds.
Therefore, the correct equation and value of [tex]\(x\)[/tex] is:
[tex]\(\frac{7}{8}x = 224 ; x = 256\)[/tex] pounds
