At the gym, Jasper was able to bench press 224 pounds, which was [tex]\frac{7}{8}[/tex] of the weight that Balin was able to bench press. Which shows the correct equation and value of [tex]x[/tex], the weight that Balin could bench press?

A. [tex]\frac{7}{8} x = 224[/tex]; [tex]x = 196[/tex] pounds
B. [tex]\frac{7}{8} x = 224[/tex]; [tex]x = 256[/tex] pounds
C. [tex]\frac{7}{8} = \frac{x}{224}[/tex]; [tex]x = 196[/tex] pounds
D. [tex]\frac{7}{8} = \frac{x}{224}[/tex]; [tex]x = 256[/tex] pounds

We are given that Jasper's bench press is [tex]$\frac{7}{8}$[/tex] of Balin's bench press. Let [tex]$x$[/tex] be the weight that Balin can bench press. This relationship can be written as:

[tex]$$\frac{7}{8} x = 224.$$[/tex]

To solve for [tex]$x$[/tex], we multiply both sides of the equation by [tex]$\frac{8}{7}$[/tex]:

[tex]$$x = 224 \times \frac{8}{7}.$$[/tex]

Calculating the multiplication:

[tex]$$224 \times \frac{8}{7} = 256.$$[/tex]

Thus, Balin can bench press [tex]$256$[/tex] pounds. The correct equation and value of [tex]$x$[/tex] is:

[tex]$$\frac{7}{8} x = 224; \quad x = 256 \text{ pounds.}$$[/tex]