a salesmen get 1600 dollar sales tax another salemen earns 500 dollars plus 5% who many sales would the second salesmen have to sale to earn more money math word problem

Answer 1

Please see a detailed explanation to this problem attached via video. Here is a written summary:

Since we are comparing two quantities, we will write an inequality to model the situation. Then, we will solve the inequality to answer the question posed.

500 + 0.05x > 1600

-500 -500

__________ ______

0.05x > 1100

0.05 0.05

x > 22000

So, the second salesman must make more than $22,000 in sales to earn more than the first salesman.

(Note: 5% = 0.05 and to find a percentage "of" a number, you multiply the percent by that number. We are looking for 5% of an unknown value, which is represented by 0.05x; > is the math symbol that means "greater than.")