Answer :
We start with the fact that Jasper's bench press is [tex]$\frac{7}{8}$[/tex] of Balin's bench press. Let [tex]$x$[/tex] be the weight Balin can bench press. This relationship is written as:
[tex]$$
\frac{7}{8} \cdot x = 224
$$[/tex]
To solve for [tex]$x$[/tex], we multiply both sides of the equation by the reciprocal of [tex]$\frac{7}{8}$[/tex], which is [tex]$\frac{8}{7}$[/tex]:
[tex]$$
x = 224 \cdot \frac{8}{7}
$$[/tex]
When you perform the multiplication, you find that:
[tex]$$
x = 256
$$[/tex]
Thus, the equation is [tex]$\frac{7}{8} \cdot x = 224$[/tex] and the weight [tex]$x$[/tex] that Balin could bench press is [tex]$256$[/tex] pounds.
[tex]$$
\frac{7}{8} \cdot x = 224
$$[/tex]
To solve for [tex]$x$[/tex], we multiply both sides of the equation by the reciprocal of [tex]$\frac{7}{8}$[/tex], which is [tex]$\frac{8}{7}$[/tex]:
[tex]$$
x = 224 \cdot \frac{8}{7}
$$[/tex]
When you perform the multiplication, you find that:
[tex]$$
x = 256
$$[/tex]
Thus, the equation is [tex]$\frac{7}{8} \cdot x = 224$[/tex] and the weight [tex]$x$[/tex] that Balin could bench press is [tex]$256$[/tex] pounds.