How would you write a real-world problem that models the following equation: 0.08x=0.06x+140?
A real-world problem that could be modeled by the equation 0.08x = 0.06x + 140 is calculating the total earnings of two friends who work in a sales job, where one friend earns a higher commission rate (0.08) while the other friend earns a lower commission rate (0.06), and they want to determine how much additional earnings one friend makes compared to the other.
Problem:
Anna and Ben work at the same company as sales representatives. Anna earns a higher commission rate of 8% (0.08) for every sale she makes, while Ben earns a lower commission rate of 6% (0.06) for each sale. They both sell products throughout the month, but they want to figure out how much more money Anna makes compared to Ben.
Let's assume that the variable x represents the total sales made by both Anna and Ben for the month. We can use the equation 0.08x = 0.06x + 140 to find the additional earnings Anna makes compared to Ben.
Using the equation:
0.08x represents the total earnings Anna makes based on her commission rate of 8%.
0.06x represents the total earnings Ben makes based on his commission rate of 6%.
140 represents the difference between Anna's earnings and Ben's earnings.
The equation is set up to find the value of x, which represents the total sales made, and then further use this value to calculate the difference in earnings between Anna and Ben.