Jaclyn had $120 and saved and earns $40 each month in alowance. Pedro has $180 saved and earns $20 in a month in allowance. If they both save thir entire allowaces how long will it take before jaclyn and pedro have the same amount of money?

Answer: it will take 3 months to save the same amountStep-by-step explanation:Jaclyn had $120 saved and earns $40 each month in allowance. This means that the number of months that it took Jacklyn to save $120 would be the total amount saved / the amount saved. This becomes 120/40 = 3 monthsSince the monthly amount earned is constant, total amount A, earned by Jaclyn in n number of months will beA(n) = 40nShe had already earned $120 in 3 months, soA(n+3) = 40n + 120Pedro has $180 saved and earns $20 in a month in allowance. This means that the number of months that it took Pedro to save $180 would be the total amount saved / the amount saved. This becomes 180/20 = 9 months.Since the monthly amount earned is constant, total amount B, earned by Pedro in n number of months will beA(n) = 20nShe had already earned $180 in 9 months, soB(n+9) = 20n + 180They would earn the same amount when A(n+3) = B(n+9) . therefore40n + 120 = 20n + 18040n - 20n = 180 - 2020n = 60n = 60/20 = 3 months