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
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.
Let's assume that production line B can produce x light bulbs in 1 hour.
According to the problem, production line A produces light bulbs 1.1 times faster than production line B. This means that production line A can produce 1.1x light bulbs in 1 hour.
Combined, the two production lines can make 315 light bulbs in 1 hour. So, we can set up the equation:
x + 1.1x = 315
Combining like terms:
2.1x = 315
Dividing both sides by 2.1:
x = 315 / 2.1
Simplifying:
x = 150
Therefore, production line B can produce 150 light bulbs in 1 hour.
To calculate how many light bulbs can be produced in 1 hour using only production line A, we simply multiply the production rate of line A by the production time:
1.1x = 1.1 * 150 = 165
Therefore, the correct answer is 165 light bulbs can be produced in 1 hour using only production line A.
To find the number of light bulbs that can be produced in 1 hour using only production line A, we can use algebra and create a rational equation.
Let's assume the number of light bulbs produced by production line B in 1 hour is x. Therefore, production line A would produce 1.1x light bulbs in 1 hour.
According to the information given, the combined production of both lines is 315 light bulbs in 1 hour. Therefore, we can set up the equation:
x + 1.1x = 315
Combining like terms:
2.1x = 315
To isolate x, we divide both sides of the equation by 2.1:
x = 315 / 2.1
Simplifying the right side:
x = 150
So, production line B can produce 150 light bulbs in 1 hour.
Now, we can find the number of light bulbs produced by production line A:
1.1x = 1.1 * 150 = 165
Therefore, the correct calculation to find the number of light bulbs that can be produced in 1 hour using only production line A is:
165 light bulbs.