Ask Question
10 June, 00:38

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?

+3
Answers (1)
  1. 10 June, 01:01
    0
    Answer: it will take 3 months to save the same amount

    Step-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 months

    Since the monthly amount earned is constant, total amount A, earned by Jaclyn in n number of months will be

    A (n) = 40n

    She had already earned $120 in 3 months, so

    A (n+3) = 40n + 120

    Pedro 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 be

    A (n) = 20n

    She had already earned $180 in 9 months, so

    B (n+9) = 20n + 180

    They would earn the same amount when

    A (n+3) = B (n+9). therefore

    40n + 120 = 20n + 180

    40n - 20n = 180 - 20

    20n = 60

    n = 60/20 = 3 months
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers