Question

Elmer has $11,500 in his savings account. He withdraws $350 each month for expenses. Pocahontas has $3,500 in her savings account and deposits $150 every month. After how many months will Elmer and Pocahontas have the same amount of money in their accounts? Write an equation to represent this situation.

Answer 1

Check the picture below.

After how many months will E(x) = P(x) ?

`\stackrel{ Elmer }{11500-350x}~~ = ~~\stackrel{ Pocahontas }{3500+150x}\implies 8000-350x=150x \\\\\\ 8000=500x\implies \cfrac{8000}{500}=x\implies \stackrel{ months }{16}=x`

Answer 2

the answer is 16 months Elmer and Pocahontas to have a same amount of money in their account
so t = 16