Answer:
Deposit made by Sheila each time= $ 50.
Deposit made by Sherri each time=$ 60.
Step-by-step explanation:
- At the bank, Sheila made 6 deposits, each in the same amount.
Let Sheila made a each deposit of $ x.
This means that the total deposit made by Sheila is:
$ 6x.
- Her sister Sherri made 5 deposits, each in the same amount.
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.