Answer :
Sure! Let's solve the question step by step:
Jasper was able to bench press 224 pounds, which is [tex]\(\frac{7}{8}\)[/tex] of the weight Balin was able to bench press. We need to find the weight that Balin could bench press, which we'll call [tex]\(x\)[/tex].
The relationship can be expressed in the equation:
[tex]\[ \frac{7}{8} \cdot x = 224 \][/tex]
To solve for [tex]\(x\)[/tex], we need to get [tex]\(x\)[/tex] by itself. 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]
When you calculate that:
[tex]\[ x = 256 \][/tex]
Therefore, the correct equation and the value for [tex]\(x\)[/tex] is:
[tex]\[ \frac{7}{8} x = 224; \, x = 256 \, \text{pounds} \][/tex]
So, the correct choice is:
[tex]\[ \frac{7}{8} x = 224; \, x = 256 \, \text{pounds} \][/tex]
Jasper was able to bench press 224 pounds, which is [tex]\(\frac{7}{8}\)[/tex] of the weight Balin was able to bench press. We need to find the weight that Balin could bench press, which we'll call [tex]\(x\)[/tex].
The relationship can be expressed in the equation:
[tex]\[ \frac{7}{8} \cdot x = 224 \][/tex]
To solve for [tex]\(x\)[/tex], we need to get [tex]\(x\)[/tex] by itself. 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]
When you calculate that:
[tex]\[ x = 256 \][/tex]
Therefore, the correct equation and the value for [tex]\(x\)[/tex] is:
[tex]\[ \frac{7}{8} x = 224; \, x = 256 \, \text{pounds} \][/tex]
So, the correct choice is:
[tex]\[ \frac{7}{8} x = 224; \, x = 256 \, \text{pounds} \][/tex]
