Answer :
To find out how much weight Balin could bench press, let's go through the problem step-by-step based on the information given:
1. Understanding the Problem:
- Jasper bench pressed 224 pounds.
- This 224 pounds is [tex]\(\frac{7}{8}\)[/tex] of the weight that Balin could bench press.
2. Setting Up the Equation:
- We can represent the weight that Balin could bench press as [tex]\(x\)[/tex].
- The relationship can be written as:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
3. Solving for [tex]\(x\)[/tex]:
- To find [tex]\(x\)[/tex], we need to isolate it on one side of the equation.
- We do this by dividing both sides of the equation by [tex]\(\frac{7}{8}\)[/tex].
- This can also be thought of as multiplying both sides by the reciprocal of [tex]\(\frac{7}{8}\)[/tex], which is [tex]\(\frac{8}{7}\)[/tex].
- So, [tex]\(x = 224 \times \frac{8}{7}\)[/tex].
4. Calculating the Value:
- Perform the multiplication:
[tex]\[
x = 224 \times \frac{8}{7} = 256
\][/tex]
5. Conclusion:
- Therefore, Balin could bench press 256 pounds.
- The correct equation and solution are: [tex]\(\frac{7}{8} x = 224\)[/tex] and [tex]\(x = 256\)[/tex] pounds.
The correct choice is: [tex]\(\frac{7}{8} x = 224 ; x = 256\)[/tex] pounds.
1. Understanding the Problem:
- Jasper bench pressed 224 pounds.
- This 224 pounds is [tex]\(\frac{7}{8}\)[/tex] of the weight that Balin could bench press.
2. Setting Up the Equation:
- We can represent the weight that Balin could bench press as [tex]\(x\)[/tex].
- The relationship can be written as:
[tex]\[
\frac{7}{8} \times x = 224
\][/tex]
3. Solving for [tex]\(x\)[/tex]:
- To find [tex]\(x\)[/tex], we need to isolate it on one side of the equation.
- We do this by dividing both sides of the equation by [tex]\(\frac{7}{8}\)[/tex].
- This can also be thought of as multiplying both sides by the reciprocal of [tex]\(\frac{7}{8}\)[/tex], which is [tex]\(\frac{8}{7}\)[/tex].
- So, [tex]\(x = 224 \times \frac{8}{7}\)[/tex].
4. Calculating the Value:
- Perform the multiplication:
[tex]\[
x = 224 \times \frac{8}{7} = 256
\][/tex]
5. Conclusion:
- Therefore, Balin could bench press 256 pounds.
- The correct equation and solution are: [tex]\(\frac{7}{8} x = 224\)[/tex] and [tex]\(x = 256\)[/tex] pounds.
The correct choice is: [tex]\(\frac{7}{8} x = 224 ; x = 256\)[/tex] pounds.
