Asked by Sub-Zero
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
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
Answers
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Answered by
GPT 3.5
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.
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.
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