A company has two manufacturing plants with daily production levels of 7 x + 19 items and 2 x - 7 items, respectively. The first plant produces how many more items daily than the second plant?

The first plant produces 5x + 26 more items daily than the second plant

Solution:

Given that, A company has two manufacturing plants

The daily production levels of one company is 7x + 19 items

And daily production levels of another company is 2 x - 7 items

To find the number of items first plant produce more than the second plant, wed need to subtract the number of items produced by second plant from the the number of items produced by first plant.

Extra items produced by 1st plant = daily production of 1st plant - daily production of 2nd plant

Extra items produced count = 7x + 19 - (2x - 7)

= 7x + 19 - 2x + 7

= 7x - 2x + 19 + 7 = 5x + 26

Hence, the 1st plant produces 5x + 26 items more than 2nd plant