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 money after \( h \) hours:**
- Her hourly wage is $4, so after working \( h \) hours, she will have earned \( 4h \) dollars.
- Starting with $30 in her savings, her total amount of money after \( h \) hours would be:
\[
\text{Leila's total} = 30 + 4h
\]

**Mark's total money after \( h \) hours:**
- His hourly wage is $5, so after working \( h \) hours, he will have earned \( 5h \) dollars.
- Starting with $5 in his savings, his total amount of money after \( h \) hours would be:
\[
\text{Mark's total} = 5 + 5h
\]

To find when they have the same amount of money, we can set their total amounts equal to each other:
\[
30 + 4h = 5 + 5h
\]

Now, we can solve for \( h \):
1. Rearranging the equation:
\[
30 - 5 = 5h - 4h
\]
\[
25 = h
\]

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