Lucy had [tex]$\$[/tex]72[tex]$, which is nine times as much money as Xavier had. How much money did Xavier have? Select the correct solution method below, representing Xavier's money with $[/tex]x[tex]$.

A. $[/tex]9x = 72[tex]$. Divide both sides by 9. Xavier had $[/tex]\[tex]$8$[/tex].
B. [tex]$\frac{x}{9} = 72$[/tex]. Multiply both sides by 9. Xavier had [tex]$\$[/tex]648[tex]$.
C. $[/tex]x - 9 = 72[tex]$. Add 9 to both sides. Xavier had $[/tex]\[tex]$81$[/tex].
D. [tex]$x + 9 = 72$[/tex]. Subtract 9 from both sides. Xavier had [tex]$\$[/tex]63$.



Answer :

To determine how much money Xavier had, we need to use algebra to set up and solve the equation correctly. We know that Lucy had [tex]$72, which is nine times as much money as Xavier had. Let’s represent Xavier's money with \( x \). We start with the given relationship: \[ 9x = 72 \] Now, we solve for \( x \) by isolating the variable: 1. Divide both sides of the equation by 9 to isolate \( x \): \[ x = \frac{72}{9} \] 2. Perform the division: \[ x = 8 \] So, Xavier had \$[/tex]8.

Thus, the correct solution method is:
A. [tex]\( 9x = 72 \)[/tex]. Divide both sides by 9. Xavier had \$8.