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

x=12.50

y = 17.50

Explanation:

x = Amount of one Derek withdrawal

then amount of John withdrawal =x+5

Total withdrawals of Derek = no of times x one time withdrawal

= 7(x) = 7x ... i

No of John withdrawal = no of times x one time withdrawal

= 5(x+5) ... ii

Given that i and ii are equal

i.e. 7x =5(x+5)

7x = 5x+25

2x =25

x = 12.50 dollars

Y = 17.50 dollars

Checking part:

total derek withdrawal = 7(12.5) =87.50

Joh's withdrawal = 5(17.50) = 87.50

Since both are equal, our answers are right.

Solution: Derek withdrew each time 12.50 dollars each for 7 times and John withdrew 17.50 dollars each for 5 times.