Question

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?

Answer 1

After 20 weeks, Shawna and Ruben will have the same amount of money in the bank.

Step-by-step explanation:

To find out after how many weeks Shawna and Ruben will have the same amount of money in the bank, we need to set up an equation and solve it. Let's assume after x weeks, they will have the same amount of money in the bank.

Shawna's bank balance after x weeks = $750 + $37.50 * x

Ruben's bank balance after x weeks = $850 + $102.75 * x - $70.25 * x

Setting these two expressions equal, we have:

$750 + $37.50 * x = $850 + $32.50 * x

Now we can solve for x:

$37.50 * x - $32.50 * x = $850 - $750

$5 * x = $100

x = $100 / $5 = 20

Therefore, after 20 weeks, Shawna and Ruben will have the same amount of money in the bank.

Answer 2

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 weeks

Let z represent the total amount that would be in Ruben's account after x weeks

Shawna has $750 in the bank. She deposits $37.50 each week. This means that the total amount after x weeks would be

y = 37.5x + 750

Ruben 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 be

z = 850 + 102.75x - 70.25x

z = 850 + 32.5x

To determine the number of weeks before the amount in both accounts will becomes the same, we would equate y to z. It becomes

37.5x + 750= 850 + 32.5x

37.5x - 32.5x = 850 - 750

5x = 100

x = 100/5 = 20