Question

Brooke worked 10 hours more than Gregory last month. If Brooke worked 9 hours for every 2 hours that Gregory worked, how many hours did they each work?

Answer 1

Let :
\(b\) = number of hours Broke worked
\(g\) = number of hours Greg worked

Answer 2

Try setting up two equations based on the given info

Answer 3

so what would the equation look like

Answer 4

`Brooke worked 10 hours more than Gregory last month.`

translates to
\[b = g+10\]

Answer 5

`Brooke worked 9 hours for every 2 hours that Gregory worked,`

translates to
\[\dfrac{b}{9}=\dfrac{g}{2}\]

Answer 6

two equations and two unknowns
you should be able to solve