3) Both Sabrina and Rex are saving money for a big purchase. Sabrina currently(week 0) has $112 saved, and Rex has $84 saved. Sabrina saves $10 each weekand Rex saves $15 each week. After how many weeks will Rex have more moneysaved than Sabrina?

Answer:Approx 6 weeksStep-by-step explanation:Represent Sabrina's savings by S(w) = $112 + ($10/wk)w, andRex's by R(w) = $84 + ($15/wk)w.Equate these to determine the number of weeks it will take for their respective savings to become equal:$112 + ($10/wk)w = $84 + ($15/wk)wfirst, combine the constant dollar amounts:$112 - $84 + ($10/wk)w = ($5/wk)wnext, subtract  ($5/wk)w  from both sides, obtaining:$28 = ($5/wk)wFinally, divide both sides by  ($5/wk)w, obtaining:w = 5.6 weeksThus, the answer here is that Rex will have more money saved than Sabrina after 5.6 weeks; we could round that off to 6 weeks.