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
The inequality written in interval notation is therefore -4<x<-1 or (-4, -1)
<h3 /><h3>What are inequalities?</h3>
Inequalities are expressions separated by the mathematical inequalities ≤, ≥, < and >
For instance a < b is a form of inequality.
<h3>What is a number line?</h3>
A number line is a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
From the given number line, we can see that closed circles are on -4 and -1. The inequality written in interval notation is therefore -4<x<-1 or (-4, -1)
Learn more on inequality here: brainly.com/question/24372553
#SPJ1
Answer: $65 lol
Step-by-step explanation:
