man bought portable radios for 600.00. Sold 720 and made 15.00 profit per radio. How many did he buy?
To figure out how many radios the man bought, we can start by calculating the profit he made on each radio.
We know that he sold 720 radios and made a $15 profit per radio. So, the total profit can be calculated by multiplying the number of radios by the profit per radio:
Total profit = 720 radios × $15 profit/radio
Now, we need to determine the total cost of the radios. We know that the man spent $600 buying the radios.
Total cost = $600
To find the number of radios that the man bought, we can use the following equation:
Total profit = Total revenue - Total cost
Since the man made a profit on each radio, the total revenue can be calculated by adding the total cost and total profit:
Total revenue = Total cost + Total profit
Now, we can substitute the given values into the equation:
Total revenue = $600 + (720 radios × $15 profit/radio)
Finally, we can rearrange the equation to solve for the number of radios:
720 radios = (Total revenue - $600) / $15
Now, we can solve for the number of radios:
720 radios = (Total revenue - $600) / $15
Divide both sides by 15:
48 radios = (Total revenue - $600) / $15
Multiply both sides by 15:
720 = Total revenue - $600
Add $600 to both sides:
720 + $600 = Total revenue
1320 = Total revenue
Therefore, the man bought 1320 radios.