how does the color of the light bulbs determine the amount of energy of the electromagnetic waves?

Answer 1

These notes may help:)
Light is electromagnetic radiation of a wavelength that is visible to the human eye (in a range from about 380 or 400 nanometres to about 760 or 780 nm).In physics, the term light sometimes refers to electromagnetic radiation of any wavelength, whether visible or not.

Five primary properties of light are intensity, frequency or wavelength, polarization, phase and orbital angular momentum.

Light, which exists in tiny "packets" called photons, exhibits properties of both waves and particles. This property is referred to as the wave–particle duality. The study of light, known as optics, is an important research area in modern physics.

Answer 2

The color of the light does not determine the energy in the waves. It determines the energy in the particles.

The total energy in waves of light depends upon both the color (average frequency) and the number of particles in the wave.