Respuesta :
Answer:
Ava and Liam have the same amount of money at 10th week.
Step-by-step explanation:
Given:
Amount Ava has in her piggy bank = $110
Amount spends per week = $5
Let the number of weeks be 'w'.
So we can say that.
Total amount Ava had after 'w' weeks = [tex]110-5w[/tex]
Also Given:
Amount Liam has in her piggy bank = $20
Amount earns per week = $4
Let the number of weeks be 'w'.
So we can say that.
Total amount Liam had after 'w' weeks = [tex]20+4w[/tex]
Now we need to find the number of weeks when both will have same amount.
So we can say that;
Total amount Ava had after 'w' weeks =Total amount Liam had after 'w' weeks
[tex]110-5w=20+4w[/tex]
Combining like terms we get;
[tex]110-20=5w+4w\\\\90=9w[/tex]
Dividing both side by 9 we get;
[tex]\frac{90}{9}=\frac{9w}{9}\\\\w=10\ weeks[/tex]
Hence Ava and Liam have the same amount of money at 10th week.
