Question

Ava has $110 in her piggy bank and spends $5 a week. Liam has $20 in his piggy bank and does chores to earn an extra $4 a week. When will Ava and Liam have the same amount of money ?

Answer 1

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 = $110-5w$

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 = $20+4w$

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

$110-5w=20+4w$

Combining like terms we get;

$110-20=5w+4w\\\\90=9w$

Dividing both side by 9 we get;

$\frac{90}{9}=\frac{9w}{9}\\\\w=10\ weeks$

Hence Ava and Liam have the same amount of money at 10th week.