Question

Arsene saves $55 per week and already has saved $270. Jose has $990 and spends $35 per week. How many days until Arsene and Jose have the same amount of money ?

Answer 1

By setting up an equation with both Arsene and Jose's changing amounts of money, it is calculated that it will take 56 days until they have the same amount of money.

Step-by-step explanation:

To find out how many days it will take until Arsene and Jose have the same amount of money, we need to set up an equation where their amounts of money will be equal. Arsene saves $55 per week and has already saved $270. Jose has $990 and spends $35 per week.

Let the number of weeks until they have the same amount of money be x. Arsene's amount after x weeks will be 270 + 55x dollars. Jose's amount after x weeks will be 990 - 35x dollars. We set up the equation:

270 + 55x = 990 - 35x

Now solve for x:

90x = 720

x = 720 / 90

x = 8 weeks

Since there are 7 days in a week, it will take 8 × 7 = 56 days until Arsene and Jose have the same amount of money.