Question

WILL GIVE BRAINLIEST ANSWER!!!!

Answer 1

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:

$y-\dfrac{5}{6}y=10\\\\\\\dfrac{6\times y-5y}{6}=10\\\\\\\dfrac{6y-5y}{6}=10\\\\\dfrac{y}{6}=10\\\\y=6\times 10\\\\y=60$

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

$60-x=10\\\\x=60-10\\\\x=50$

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

and deposit made by Sherri each time is $ 60.

Answer 2

6x=shelia total deposit
5y=sherri total
sheri is 10 more than shelia so
y=10+x
and also they deposed same amount total
6x=5y
6x=5(10+x)
6x=50+5x
minus 5x both sides
x=50
y=10+x
y=10+50
y=60
shelia deposits $50 each and sherri deposits $60 each
50*6=300
60*5=300
300=300



ok answer to questions

Write an equation. Let x represent the amount of one of Sheila’s deposits. and y is the other one, 5x=6y, y=10+x
⦁ Solve the equation. Show your work. see above
⦁ Check your solution. Show your work.
⦁ State the solution in complete sentences. Shelia deposited $50 each time, Sherri deposited $60 each time