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?

Question

Zachariah Noble

Mathematics

18 July, 22:07

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?

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Answers (2)

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Benjamin Holland · Answer 1

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?

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Isai Welch · Answer 2

Let us solve the problem using an equation. Let x be the number of months needed to make their saving equal. That is, after x months, their savings will be equal. The savings of Pedro after x months will be 180 + 20x (Amount already saved plus savings after x months @ 20/. per month) After x months, the savings of Jaclyn will be 120 + 40x (Amount already saved plus savings after x months @ 40/. per month) If their savings are equal after x months, the equation will be: 180 + 20x = 120 + 40x 180 - 120 = 40x - 20x 60 = 20x x = 60/20 = 3 So after 3 months, Jaclyn and Pedro will have saved the same amount of money