Over winter break, Raymond worked 12.5 hours at the library and 20.5 hours at a café. The library paid him $\$ 13$ per hour. If he earned a total of $\$ 459.75$ from both jobs, how much did the café pay Raymond per hour?
Answer
So, the café paid Raymond \(\boxed{14.5}\) per hour.
Step 1 ：First, we need to calculate how much Raymond earned from the library by multiplying the hours he worked there by the hourly rate. This is done by the calculation \(12.5 \times 13 = 162.5\).
Step 2 ：Next, we subtract this amount from the total earnings to find out how much he earned from the café. This is done by the calculation \(459.75 - 162.5 = 297.25\).
Step 3 ：Finally, we divide the earnings from the café by the hours he worked there to find out the hourly rate at the café. This is done by the calculation \(297.25 \div 20.5 = 14.5\).
Step 4 ：So, the café paid Raymond \(\boxed{14.5}\) per hour.
