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Answer :
Let the total number of slices be [tex]$x$[/tex]. According to the problem, Pete ate [tex]$\frac{3}{7}$[/tex] of the pizza, which equals 9 slices. This situation can be expressed by the equation
[tex]$$
\frac{3}{7}x = 9.
$$[/tex]
To solve for [tex]$x$[/tex], multiply both sides of the equation by [tex]$\frac{7}{3}$[/tex]:
[tex]$$
x = 9 \cdot \frac{7}{3}.
$$[/tex]
Simplify the right side:
[tex]$$
x = 9 \cdot \frac{7}{3} = 3 \cdot 7 = 21.
$$[/tex]
Thus, there were [tex]$\boxed{21}$[/tex] slices in the pizza.
[tex]$$
\frac{3}{7}x = 9.
$$[/tex]
To solve for [tex]$x$[/tex], multiply both sides of the equation by [tex]$\frac{7}{3}$[/tex]:
[tex]$$
x = 9 \cdot \frac{7}{3}.
$$[/tex]
Simplify the right side:
[tex]$$
x = 9 \cdot \frac{7}{3} = 3 \cdot 7 = 21.
$$[/tex]
Thus, there were [tex]$\boxed{21}$[/tex] slices in the pizza.
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