Question

At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawals,
each in the same amount. Each of John’s withdrawals was $5 more than each withdrawal that Derek made.
Both Derek and John withdrew the same amount of money in the end. How much did each brother withdraw?
A) Write an equation. Let x represent the amount of one of Derek’s withdrawals.
B) Solve the equation. Show your work.
C) Check your solution. Show your work.
D) State the solution in complete sentences

Answer 1

At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawls, each in the same amount.

Let x be  the amount of one of Derek's withdrawals

Each of John's withdrawals was $5 more than each withdrawal that Derek made.

x + 5 is t the amount of one of John's withdrawals

Derek made 7 withdrawals

So amount withdraw 7 times = 7x

John made 5 withdrawals

So amount withdraw 5 times = 5(x+5)

Both Derek and John withdrew the same amount of money in the end

(A)7x = 5(x+5)

(B) Solve for x

7x = 5x + 25

Subtract 5x from both sides

2x = 25

Divide by 2

x = 12.5

(C) check your solution

we plug in 12.5 for x in 7x= 5x + 25

7(12.5) = 5(12.5) + 25

87.5 = 62.5+ 25

87.5 = 87.5

(D) Each brother withdrawal 87.5 dollars