Final answer:
To find the number of light bulbs produced on the second shift in Johnson Corporation, we set up an equation based on the given ratio. We solve the equation to find that the second shift produced 14,810 light bulbs.
Step-by-step explanation:
To find the number of light bulbs produced on the second shift, we first need to determine the ratio of light bulbs produced by the first and second shifts. Let's say the second shift produced x light bulbs. According to the problem, the first shift produced 8 12 times as many light bulbs as the second shift. This means the first shift produced 8 12x light bulbs. The total number of light bulbs produced is 24,700, so we can set up the equation 8 12x + x = 24,700 to solve for x.
To simplify the equation, we can convert 8 12 to a decimal by dividing 8 by 12. The decimal value is 0.67. Now we have 0.67x + x = 24,700. Combining like terms, we get 1.67x = 24,700. To isolate x, we divide both sides of the equation by 1.67.
x = 24,700 ÷ 1.67 = 14,810
Therefore, the second shift produced 14,810 light bulbs.