A city bus collected $780 in fares on one day.The price of a regular fare was $0.80, and theprice of a discount fare was $0.40. If a total of1200 people paid the fares on this bus, howmany people paid the regular fare?

Answer:450 people paid the discounted fare and 750 people paid the regular fare.Step-by-step explanation:let r be regular fares paid and d be discounted fares paidTotal fares = 0.8r + 0.4d = 780Since 1200 people paid the fares,r + d = 1200 = Total peopleRearrange this formula:r = 1200 - dSubstitute r into Total Fares formulaTotal fares = 0.8r + 0.4d780 = 0.8(1200-d) + 0.4d780 = 960 - 0.8d + 0.4d780 = 960 - 0.4d0.4d = 180d = 450Sub d=450 into Total people formular + d = 1200 = Total peopler + 450 = 1200r = 1200-450r = 750450 people paid the discounted fare and 750 people paid the regular fare.