Raul and Ruth Are saving for a trip.Raul starts with $350 and saves $15 per week.Ruth starts with $200 and saves $25 per week. When will they have the same amount?
Develop two linear equations to represent the savings of these two people: Raul: rl=$350 + $15x Ruth: rh=$200 + $25x In both cases, x represents the number of weeks elapsed.
When will these two people have saved up the same amount? Set rl = rh and solve for x, the number of weeks elapsed:
$350 + $15x = $200 + $25x
$150 = $10x gives us x= 15. Their savings will be equal after 15 weeks.
