contestada

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?

Respuesta :

ankastre
I came up with something but not sure at all, so if you don't get anything better, check with your teacher to see if it makes any sense!

After spendings Ruben deposits $32.5

So I ask;
After how many of Shawna's $37.5 deposit + $750 will be equal to how many of Ruben's $32.5 + $850

i.e. 37.5x + 750 = 32.5x + 850

37.5x - 32.5x = 850 - 750

5x = 100

x = 20 weeks

I check this Ruben = 32.5x20wks + 850 = 1500

for Shawna = 37.5x20wks + 750 = 1500

It actually checks out. Good luck..

In 20 weeks they will have the same amount of money in the bank.

Given that:

Shawna has $750 in bank account.

Shawna adds $37.50 in the account each week.

Ruben has $850 in bank account.

Ruben adds $102.75 each Monday and spends $70.25 each week.

Thus Ruben, in resultant, adds $102.75 - $70.25 = $32.50 per week in her bank account.

Let in x weeks, both Shawna and Ruben will have equal amounts in their respective bank account. Then:

Amount added by Shawna in her bank account in [tex]x[/tex] weeks = [tex]\$37.5 \times x[/tex]

Amount added by Ruben in his bank account in [tex]x[/tex] weeks = [tex]\$ 32.5 \times x[/tex]

Since both will have same amount, thus:

[tex]\text{Total balance in x weeks in Shawna's account = Total balance in x week in Ruben's account }\\\\$750 + 37.5x = 850 + 32.5x\\\\x(37.5 - 32.5) = 850 - 750\\\\5x = 100\\\\x = \dfrac{100}{5}\\\\x = 20[/tex]

Thus, in 20 weeks, both will have same amount in their respective bank accounts.

Learn more here:

https://brainly.com/question/19379888

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE

Otras preguntas