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3. 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.

Respuesta :

Sheila Total: 6x

Sherri Total: 5(x+10) = 5x+50

(a) Write an equation. Let x represent the amount of one of Sheila’s deposits.

6x = 5x+50

(b) Solve the equation. Show your work.

Subtract 5x from both sides

6x - 5x = 50

Simplify 6x - 5x to x

x = 50

(c) Check your solution. Show your work.

6*50 = 5(50+10)  

300 = 5*60

300 = 300

(d) State the solution in complete sentences.

Sheila deposited $50 at a time; Sherri deposited $60 at a time.

6 x 50 = 5 x 60 = $300 total deposits for both.

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