Answer:
Step-by-step explanation:
    Meghan is soon going to have to spend $78.99 on a dress, $32.50 on shoes, $25 for the ticket and $50 for dinner.
    Meghan already has $52 from her savings to spend. She earns money from babysitting at $12 each hour.
    Let the number of hours Meghan babysits be denoted by [tex]x[/tex].
From [tex]x[/tex] hours of babysitting, Meghan earns $([tex]x\times12[/tex]).
So, her total earnings sum up to [tex]12x+52[/tex]. This should be greater than total spendings.
    [tex]12x+52\geq 78.99+32.50+25+50\\12x\geq 134.49\\x\geq 11.208[/tex]
So, Meghan must work for 12 hours so she has something left after spendings.
∴ Meghan must babysit for 12 hours.