Question

In Johnson corp.the first shift produced 8 1/2 times as many light bulbs as the second shift. It the total light bulbs produced were 24,700. How many light bulbs were produced on second shift? (Problem question.)

Answer 1

Define x:

Let the number of bulbs produced in the second shift be x

The number of bulbs produced in the first shift = 8 1/2 x = 8.5x

Solve x:

Total bulbs produced = 24,700

x + 8.5x = 24700

9.5x = 24700

x = 24700 ÷ 9,5

x = 2600 bulbs

Find the number of bulbs produced on the second shift:

Number of bulbs = x = 2600

Answer: 2600 bulbs were produced on the second shift.

Answer 2

Solution:

let the number of bulbs produced in the second shift are x

So in first shift
$8 \times \frac{1}{2} \: of \: x \\ \\ = \frac{17}{2} x$

Total bulbs produced are 24,700,

So we can make equation like

$x + \frac{17}{2} x = 24700 \\ \\ x + 8.5x = 24700 \\ \\ 9.5x = 24700 \\ \\ x = \frac{24700}{9.5} \\ \\ = 2600$


In second shift 2600 bulbs are produced.