Final answer:
To find the values of x, y, z, and w, we need more information or specific values for a and b.
Step-by-step explanation:
Let x = the number of hours Sonya worked at the pet store.
Let y = the number of hours Sonya babysitted.
Since Sonya worked a total of z hours, we can write the equation x + y = z.
Let's say Sonya made $a per hour at the pet store and $b per hour babysitting.
Then, Sonya earned a total of $w, so we can write the equation a * x + b * y = w.
Therefore, we have the following system of equations:
x + y = z
a * x + b * y = w
To find the values of x, y, z, and w, we need more information or specific values for a and b.