Question

Leila makes $4 per hour and has $30 in her savings account. Mark makes $5 an hour and has $5 in his savings account.




After how many hours will they have the same amount of money?

Answer 1

Let's denote the number of hours worked as \( h \).

Leila's total amount of money after working \( h \) hours can be calculated as follows:

\[
\text{Leila's total amount} = \text{initial savings} + \text{earnings} = 30 + 4h
\]

Mark's total amount of money after working \( h \) hours can be calculated as:

\[
\text{Mark's total amount} = \text{initial savings} + \text{earnings} = 5 + 5h
\]

We want to find the value of \( h \) when their total amounts are equal:

\[
30 + 4h = 5 + 5h
\]

To solve for \( h \), we first subtract \( 4h \) from both sides:

\[
30 = 5 + h
\]

Next, we subtract 5 from both sides:

\[
30 - 5 = h
\]
\[
25 = h
\]

Therefore, after **25 hours**, Leila and Mark will have the same amount of money.