SOLUTION: Help please, using substition i keep coming up with equal answers on each side of the equation and I am stuck. I can't figure out what I am missing. Thanks. This question is o

Question 189708This question is from textbook Algebra I
: Help please, using substition i keep coming up with equal answers on each side of the equation and I am stuck. I can't figure out what I am missing. Thanks.
This question is on a chapter review and is similar to question 34/35 on page 380 of Algebra 1 (ISBN 0-07-869680-1).
Mike makes $500 per month plus a commission of 3% of the total sales he makes. Zach makes $700 per month plus a commission of 2.5% of the total sales he makes. What is the total sales each must make to have the same salary? How much will eash person's salary be at that time? This question is from textbook Algebra I

Answer by jonvaliente(64) (Show Source): You can put this solution on YOUR website!
Let x=total sales each person must make
Mike's salary = 500 + 0.03x
Zach's salary = 700 + 0.025x
500+0.03x=700+0.25x
Subtracting 500 from each side, we get:
500-500+0.03x=700-500+0.025x
0.03x=200+0.025x
Subtracting 0.025x from each side, we get:
0.03x-0.025x=200+0.025x-0.025x
0.005x=200
Dividing both sides by 0.005, we get:
0.005x/0.005=200/0.005
x=40000
Therefore Mike and Zach needs to make $40,000 in sales so they get equal salaries.
To check:
Mike's Salary = 500 + 0.03(40000)=500 + 1200=1700
Zach's Salary = 700 + 0.025(40000) = 700 + 1000=1700
RELATED QUESTIONS
i solved this problem and i keep coming up with decimal answers, i am stuck please... (answered by Alan3354)

I am having trouble solving this equation. I am supposed to divide and simplify and can... (answered by ankor@dixie-net.com)

Could someone please explain to me how to work this type of problem. I have tried to... (answered by bucky)

I am stuck on this problems and need some help I am not good at this Find the length... (answered by stanbon)

Find the solution to system of equations by substitution. Problem:... (answered by checkley71)

i keep coming up with the wrong answers for the foci of this equation. please help.... (answered by RAY100,solver91311)

Find the intercepts and then use them to graph the equation 4x+5y=20 I have to see the... (answered by jim_thompson5910,oberobic)

I am totally stuck. I do not think I can answer in decimals, yet that is what I keep... (answered by jim_thompson5910)

I am having trouble trying to factor the equation 3x^2+2x+2=0 I have tried various... (answered by ankor@dixie-net.com,richard1234)