Question

Melanie and Murray are both in debt to their parents. Murray owes them $80 and Melanie owes them $55. If Murray gives his parents $2 per week and Melanie gives her parents $1 per week, after how many weeks will Melanie and Murray owe their parents the same amount of money?

Answer 1

Since each week murray gives his parrents $2, each week the debt is 80-2t.

Since each week Melanie gives her parents $1, each week the debt is 55-t

`\begin{gathered} \text{ We have to find the week t such that } \\ 80-2t=55-t \\ 80-55=2t-t \\ 25=t \end{gathered}`

After 25 weeks melanie and murray will owe their parents the same amount of money!

at the week 25, Murray's debt wiill be

`\begin{gathered} 80-2(25)=80-50 \\ =30 \end{gathered}`

And we see that is equal to melanie's debt at that week!

`55-25=30`