I just purchased this replacement for my grandmother clock and the chimes are not synced with the time. How do I adjust the works to make the chimes strike at the proper minute?

The next time it chimes multiple times turn the hour hand clockwise until it is pointing at the number of times it gonged. Next take off the dial nut off (make sure to put it in a plastic bag because they can be hard to replace) and turn the minute hand until it chimes signaling 15 minutes after. Now put the minute hand back on pointing to 3 o'clock and replace your dial nut and you are all set.
Fix Clock That Gongs Wrong

Get it to chime the hour then remove minute hand and replace to the 12 o'clock position