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Answer :
To find out how much weight Balin could bench press, let's set up an equation using the information given:
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. We need to find the total weight [tex]\(x\)[/tex] that Balin could bench press.
The equation we can use is:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
To solve for [tex]\(x\)[/tex], we need to get rid of the fraction [tex]\(\frac{7}{8}\)[/tex] 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 calculate:
1. Multiply 224 by 8:
[tex]\[
224 \times 8 = 1792
\][/tex]
2. Divide 1792 by 7:
[tex]\[
1792 \div 7 = 256
\][/tex]
So, Balin could bench press 256 pounds. The correct equation and value of [tex]\(x\)[/tex] are:
[tex]\[
\frac{7}{8}x = 224 ; x = 256 \text{ pounds}
\][/tex]
This matches the option: [tex]\(\frac{7}{8} x = 224 ; x = 256\)[/tex] pounds.
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. We need to find the total weight [tex]\(x\)[/tex] that Balin could bench press.
The equation we can use is:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
To solve for [tex]\(x\)[/tex], we need to get rid of the fraction [tex]\(\frac{7}{8}\)[/tex] 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 calculate:
1. Multiply 224 by 8:
[tex]\[
224 \times 8 = 1792
\][/tex]
2. Divide 1792 by 7:
[tex]\[
1792 \div 7 = 256
\][/tex]
So, Balin could bench press 256 pounds. The correct equation and value of [tex]\(x\)[/tex] are:
[tex]\[
\frac{7}{8}x = 224 ; x = 256 \text{ pounds}
\][/tex]
This matches the option: [tex]\(\frac{7}{8} x = 224 ; x = 256\)[/tex] pounds.
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