Write an equation. Let x represent the amount of one of Sheila's deposits.

Question

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 deposit's was $10 more than each deposit Sheila made. Both sisters deposit the same amount in the end. How much did each sister deposit each time? Write an equation. Let x represent the amount of one of Sheila's deposits.

 

My solution would be:

 

x = x + 10 OR

 

6x = 5x + 10(5)

6x = 5x + 50

6x - 5x = 50

x = 50

 

Not sure if I'm correct though. I'm trying to help my daughter with homework and I haven't done algebra for 2years, since I took Algebra and Trig for Nursing School.

 

Thanks!

 

Answer 1

If x = one of Sheila's deposits then Sheila deposited 6x total

 

Sherri made 5 deposits, each equal to 10 more than Sheila's

Sherri's deposits were each x+10 so total = 5(x+10) or 5x + 50

 

6x = 5x+50

x = 50

 

Yes, you are correct.  :-)

 

Total deposit per sister = $300 each