how would you write a real world problems the models the following equation
0.08x = 0.06x + 140
One possible real-world problem that could be modeled by the given equation is the scenario of two friends who are selling homemade crafts. They both make a profit from their crafts, but at different rates.
Let's say Friend A makes a profit of 8% of the number of crafts they sell (represented by x), while Friend B makes a profit of 6% of the number of crafts they sell.
The equation 0.08x = 0.06x + 140 represents their total profits. Here's how we can write the real-world problem using this equation:
"Friend A and Friend B both sell homemade crafts. Friend A makes a profit of 8% of the number of crafts they sell, while Friend B makes a profit of 6% of the number of crafts they sell. If both friends have the same number of crafts, Friend A's total profit is $140 more than Friend B's. How many crafts did each friend sell?"
By solving the equation 0.08x = 0.06x + 140, we can determine the number of crafts each friend sold and find the solution to the real-world problem.