Question

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

It gave you your workflow right there. Let's write the equations like in step (a).

Sheila deposits $x each time. Sherri deposits $10 more, or $x+10 each time. After 6 of Sheila's and 5 of Sherri's deposits, they have the same amount, so:
\[6x = 5(x + 10)\]

Now, we need to solve the equation as in (b). First we distribute the 5:
\[6x = 5x + 50\
Subtract 5x from both sides to get x on only the LHS:
\[6x - 5x = 5x -5x + 50\]
\[x = 50\]

Magic. Now, to check the solution as in (c), just plug your x value into the equation and see if it's true:
\[6(50) = 5(50 + 10)\]
\[6(50) = 5(60)\]
\[300 = 300\]
Yay, we got it right! The solution in complete sentences as in (d) is:

Sheila deposited $50, and Sherri deposited $60 each time.

Answer 2

Also, this goes in the Mathematics group, not the Chemistry group.

Answer 3

ok thanks i thought i was in the math group

Answer 4

yw, it's fine, I'm over there, too, anyway.