Combined, two production lines can make 315 light bulbs in 1 hour. Production line A produces light bulbs 1.1 times faster than

production line B. Using a rational equation, which of the following correctly calculates how many light bulbs can be produced in
1 hour using only production line A? (1 point)
165 light bulbs

300 light bulbs

150 light bulbs

158 light bulbs

1 answer

Let x be the number of light bulbs produced by production line B in 1 hour.

Since production line A produces light bulbs 1.1 times faster than production line B, production line A produces 1.1x light bulbs in 1 hour.

Combined, the two production lines can make 315 light bulbs in 1 hour, so x + 1.1x = 315.

Simplifying the equation gives 2.1x = 315.

Dividing both sides of the equation by 2.1 gives x = 150.

Therefore, production line A produces 1.1 * 150 = 165 light bulbs in 1 hour.

Answer: 165 light bulbs.