MATH SOLVE

5 months ago

Q:
# Shawna has $750 in the bank. She deposits $37.50 each week. Ruben has $850 in the bank. He deposits his paycheck of $102.75 every Monday, and he spends about $70.25 each week. After how many weeks will they have the same amount of money in the bank?

Accepted Solution

A:

Answer:Step-by-step explanation:Answer: it would take 20 weeks before the amount in both accounts would be the same.Step-by-step explanation:Let x represent the number of weeks that it will take either Ruben and Shawna to have the same amount of money in their account.Let y represent the total amount that would be in Shawna's account after x weeksLet z represent the total amount that would be in Ruben's account after x weeksShawna has $750 in the bank. She deposits $37.50 each week. This means that the total amount after x weeks would bey = 37.5x + 750Ruben has $850 in the bank. He deposits his paycheck of $102.75 every Monday,and he spends about $70.25 each week.. This means that the total amount after x weeks would bez = 850 + 102.75x - 70.25xz = 850 + 32.5xTo determine the number of weeks before the amount in both accounts will becomes the same, we would equate y to z. It becomes37.5x + 750= 850 + 32.5x37.5x - 32.5x = 850 - 7505x = 100x = 100/5 = 20