Question

(l+40)*30=(205-l)*100

Answer 1

30l+1200=20500-100l
30l+100l=20500-1200
130l=19300
l=19300:130
l=120

Answer 2

To solve for the value of 'l' in the equation:

(l + 40) * 30 = (205 - l) * 100

You can follow these steps:

1. Distribute the constants on both sides of the equation:

30l + 1200 = 20500 - 100l

2. Move all the 'l' terms to one side of the equation and the constants to the other side:

30l + 100l = 20500 - 1200

3. Combine like terms:

130l = 19300

4. Now, isolate 'l' by dividing both sides by 130:

l = 19300 / 130

5. Simplify the right side:

l = 148.46 (rounded to two decimal places)

So, the solution for 'l' is approximately 148.46.