The easiest way I found to describe the differences between science and engineering (and I think about this fairly often) is by analogy with learning how to drive a (manual) car.

There are a few key skills one needs to master to be able to drive a car through any kind of circuit: from the basics, such as shifting up and down and the appropriate times, to drifting at will. Given enough time and "research", people can master this aspect effectively. That's science.

Engineering is the rest of the driving experience. The placement of traffic lights, how to synchronise them so two perpendicular roads are not green at the same time, and all of the signaling (stop, yield, etc) that we are used to.

The difference is there is a bigger solution space in engineering: there is no "one correct answer", and the factors involved in determining whether something is a good engineering solution are much broader. For example, reusing the signaling example above, the "stop" sign doesn't have to be a hexagonal red shape, but some early civil engineer figured that shape is the most adequate.