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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?
⦁ write an equation. let x represent the amount of one of sheila’s deposits.
⦁ solve the equation. show your work.
⦁ check your solution. show your work.
⦁ state the solution in complete sentences.

Deposit made by Sheila each time= $ 50.

Deposit made by Sherri each time=$ 60.

Step-by-step explanation:

            Let Sheila made a each deposit of $ x.

        This means that the total deposit made by Sheila is:

              $ 6x.

          Let Sherri made each deposit of $ y.

     Hence, total deposit made by Sherri is: $ 5y.

Now Each of Sherri's deposits was $10 more than each deposit Sheila made.

This means that:

                 y-x=10----------------(1)

Also,. Both sisters deposited the same amount in the end.

This means that:

                6x=5y------------(2)

i.e.   x=5/6 y

Hence, putting the value of x in terms of y in equation (1) we get:

Now, putting the value of y again in equation (1) we get:

  Hence, the deposit made by Sheila each time is $ 50.

and deposit made by Sherri each time is $ 60.

answer: 72: 111

step-by-step explanation: