Answer :
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
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
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:
[tex]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[/tex]
Now, putting the value of y again in equation (1) we get:
[tex]60-x=10\\\\x=60-10\\\\x=50[/tex]
Hence, the deposit made by Sheila each time is $ 50.
and deposit made by Sherri each time is $ 60.