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? enter your answer in the box.

Let's define the variables:

• Let ttt be the number of months after which Jaclyn and Pedro have the same amount of money.
• Jaclyn's initial savings: $120
• Jaclyn's monthly allowance: $40
• Pedro's initial savings: $180
• Pedro's monthly allowance: $20

We want to find ttt such that:

Jaclyn’s savings after t months=Pedro’s savings after t months\text{Jaclyn's savings after }t\text{ months}=\text{Pedro's savings after }t\text{ months}Jaclyn’s savings after t months=Pedro’s savings after t months

Mathematically:

120+40t=180+20t120+40t=180+20t120+40t=180+20t

Now, solve for ttt:

120+40t=180+20t120+40t=180+20t120+40t=180+20t

40t−20t=180−12040t-20t=180-12040t−20t=180−120

20t=6020t=6020t=60

t=6020=3t=\frac{60}{20}=3t=2060​=3

Answer:

It will take 3 months for Jaclyn and Pedro to have saved the same amount of money.