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 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 1

Step 1: 
5(10+x)=6x
Step 2:
50+5x=6x
     -5x -5x
50=x
Step 3:
5(10+50)=6(50)
5(60)=6(50)
300=300
Step 4:
Sheila has deposited $50 each of the 6 times. Her sister Sherri has deposited $60 each of the 5 times.