SOLUTION: 3. At the bank, Sheila made 6 deposits, each in the same amount. Her sister Sherri made 5 deposits, each in the same amount. Each of Sherri's deposits was $10 more than each deposi

Algebra.Com
Question 1052710: 3. At the bank, Sheila made 6 deposits, each in the same amount. Her sister Sherri made 5 deposits, each in the same amount. Each of Sherri's deposits was $10 more than each deposit Sheila made. Both sisters deposited the same amount in the end. How much did each sister deposit each time?
(a) Write an equation. Let x represent the amount of one of Sheila’s deposits.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
3. At the bank, Sheila made 6 deposits, each in the same amount. Her sister Sherri made 5 deposits, each in the same amount. Each of Sherri's deposits was $10 more than each deposit Sheila made. Both sisters deposited the same amount in the end. How much did each sister deposit each time?
------
Sheila Total:: 6x
Sherri Total:: 5(x+10) = 5x+50
------------------------------------
(a) Write an equation. Let x represent the amount of one of Sheila’s deposits.
6x = 5x+50
---------------
(b) Solve the equation. Show your work.
x = 50
-------
(c) Check your solution. Show your work.
6*50 = 5(50+10)
300 = 5*60
300 = 300
----------------
(d) State the solution in complete sentences.
I'll leave that to you.
Cheers,
Stan H.
-----------

RELATED QUESTIONS

At the bank, Sheila made 6 deposits, each in the same amount. Her sister Sherri made 5... (answered by jorel555)
A student deposits $20 each month in a Holiday Club account at her bank. The account pays (answered by cfbass33)
A student deposits $20 each month in a Holiday Club account at her bank. The account pays (answered by nyc_function)
A person wants to deposit $10,000 per year for 6 years. If interest is earned at the... (answered by CPhill)
Each week, Ben deposits the same amount of money into his bank account. Today, he has 42$ (answered by stanbon,MathTherapy)
A person wants to deposit $10,000 per year for 6 years. If interest is earned at the rate (answered by Theo)
A person wants to deposit $10,000 per year for 6 years. If interest is earned at the... (answered by CPhill)
Sam has $100 and Jack has $180 in each of their bank accounts. Sam deposits $20 each week (answered by josmiceli)
A student deposits $20 each month in a Holiday Club account at her bank. The account... (answered by rfer)