Question

Omar and Lucas are each keeping track of their savings over the summer. Omar currently has $10 and plans to save $25 each week from his earnings at his summer job. Lucas currently has $40 and plans to save $15 each week from his earnings at his summer job. After how many weeks will Omar and Lucas have the same amount of money saved?

Answer 1

Let's set up equations to represent the amount of money each person has saved after x weeks:

Omar: Total savings after x weeks = $10 + $25x
Lucas: Total savings after x weeks = $40 + $15x

To find when they will have the same amount saved, we need to set the two equations equal to each other and solve for x:

$10 + $25x = $40 + $15x
$25x - $15x = $40 - $10
$10x = $30
x = 3

Therefore, Omar and Lucas will have the same amount of money saved after 3 weeks.