Final answer:
Ayden will make $18 per hour after his 20% raise. Uma will make $21 per hour after her 5% raise. Uma will make $3 more per hour than Ayden after the raises.
Step-by-step explanation:
Ayden currently makes $15 per hour at his job, and he is going to receive a 20% raise. To calculate this, we multiply his current hourly wage ($15) by the percentage raise (20% or 0.20). The increase in his pay will be $15 * 0.20 = $3 per hour. After the raise, Ayden will be making $15 + $3 = $18 per hour.
Uma currently makes $20 per hour and is going to receive a 5% raise. To calculate this, we multiply her current hourly wage ($20) by the percentage raise (5% or 0.05). The increase in her pay will be $20 * 0.05 = $1 per hour. After the raise, Uma will be making $20 + $1 = $21 per hour.
To find out how much more money Uma makes than Ayden per hour after the raises, we subtract Ayden's hourly wage after the raise from Uma's hourly wage after the raise. $21 - $18 = $3.