Answer :
Certainly! Let's solve the problem step-by-step to find out the weight that Balin could bench press.
Problem Statement:
Jasper was able to bench press 224 pounds, and this was [tex]\(\frac{7}{8}\)[/tex] of the weight that Balin could bench press. We need to find the weight, [tex]\(x\)[/tex], that Balin could bench press.
Step-by-Step Solution:
1. Understand the Relationship:
Jasper's bench press weight (224 pounds) is given as [tex]\(\frac{7}{8}\)[/tex] of Balin's weight ([tex]\(x\)[/tex]).
2. Set Up the Equation:
We can express this relationship with the equation:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
3. Solve for [tex]\(x\)[/tex]:
To find [tex]\(x\)[/tex], we need to isolate it on one side of the equation. We do this by multiplying both sides by the reciprocal of [tex]\(\frac{7}{8}\)[/tex], which is [tex]\(\frac{8}{7}\)[/tex].
Multiply both sides by [tex]\(\frac{8}{7}\)[/tex]:
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
4. Calculate the Value:
Now, perform the multiplication:
[tex]\[
x = 224 \times \frac{8}{7} = 256
\][/tex]
Therefore, Balin was able to bench press 256 pounds.
Conclusion:
The correct equation and solution show that [tex]\(\frac{7}{8} x = 224\)[/tex] and the calculated value of [tex]\(x\)[/tex] is 256 pounds. The correct answer choice is: [tex]\(\frac{7}{8} x = 224 ; x = 256\)[/tex] pounds.
Problem Statement:
Jasper was able to bench press 224 pounds, and this was [tex]\(\frac{7}{8}\)[/tex] of the weight that Balin could bench press. We need to find the weight, [tex]\(x\)[/tex], that Balin could bench press.
Step-by-Step Solution:
1. Understand the Relationship:
Jasper's bench press weight (224 pounds) is given as [tex]\(\frac{7}{8}\)[/tex] of Balin's weight ([tex]\(x\)[/tex]).
2. Set Up the Equation:
We can express this relationship with the equation:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
3. Solve for [tex]\(x\)[/tex]:
To find [tex]\(x\)[/tex], we need to isolate it on one side of the equation. We do this by multiplying both sides by the reciprocal of [tex]\(\frac{7}{8}\)[/tex], which is [tex]\(\frac{8}{7}\)[/tex].
Multiply both sides by [tex]\(\frac{8}{7}\)[/tex]:
[tex]\[
x = 224 \times \frac{8}{7}
\][/tex]
4. Calculate the Value:
Now, perform the multiplication:
[tex]\[
x = 224 \times \frac{8}{7} = 256
\][/tex]
Therefore, Balin was able to bench press 256 pounds.
Conclusion:
The correct equation and solution show that [tex]\(\frac{7}{8} x = 224\)[/tex] and the calculated value of [tex]\(x\)[/tex] is 256 pounds. The correct answer choice is: [tex]\(\frac{7}{8} x = 224 ; x = 256\)[/tex] pounds.
