SOLUTION: Ernie earns $20 per day plus a commission of 5% on his total sales. Bert get $10 per day plus a commission of 8% on his total sales. Algebraically, determine when Bert's job will
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Question 187490: Ernie earns $20 per day plus a commission of 5% on his total sales. Bert get $10 per day plus a commission of 8% on his total sales. Algebraically, determine when Bert's job will pay more than Ernie's job.
I am confused. Without graphing I am lost. All I have so far is this.
E=(x)5/100+20
B=(x)8/100+10
Should I set them equal to each other? I don't see how to solve this. I have been looking through notes for two days. Please help.
Thanks so much.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Well, you're off to a good start!
You have x = total sales and you want to find when B > E, so...
0.08x+10 > 0.05x+20 Subtract 0.05x from both sides.
0.03x+10 > 20 Now subtract 10 from both sides.
0.03x > 10 Finally, divide both sides by 0.03
x > 333.3
The answer is when total sales (x) exceed 333.3
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