Question

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.

Answer 1

Explanation:

x = one deposit of Sheila

x + 10 = one deposit of Sherri

so,

6x = 5(x + 10) = 5x + 50

x = 50

x + 10 = 60

so, as check, the original equation must be true for these values :

6×50 = 5×(50 + 10) = 5×60

300 = 300

correct.

Sheila deposited 6 times $50 every time. so, in total, she deposited $300.

Sherri deposited 5 times $50+$10 = $60 every time. so, in total, she too deposited $300.