Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance. If they both save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?

Answer:3 monthsStep-by-step explanation:Let after m months they saved same amount of money.Given,Saving of Jaclyn = $ 120,Amount earned by him/her per month = $ 40,So, the total amount contained by him/her in m months = Saving + earning for m months= 120 + 40m,Similarly, saving of Pedro = $ 180,Amount earned by him/her per month = $ 20,So, the total amount contained by him/her in m months = 180 + 20m Thus, we can write,120 + 40m = 180 + 20m40m = 180 + 20m - 12040m - 20m = 6020m = 60⇒ m = [tex]\frac{60}{20}[/tex] = 3.Hence, it will take 3 months before which Jaclyn and Pedro have saved the same amount of money.