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?

1 answer

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.