Of the peaches of cans labeled

[cavalli27]

Of the cans of peaches inspected yesterday at a certain plant, 1.5 percent failed to pass inspection. Of the cans that failed inspection, 5/6 were incorrectly labeled and the rest were dented. If all of the cans that were incorrectly labeled or dented failed inspection, how many of the cans of peaches inspected yesterday at the plant were dented?

Statement 1 : 450 of the cans of peaches inspected yesterday at the plant failed to pass inspection.
Statement 2: 29,550 of the cans of peaches inspected yesterday at the plant passed inspection.

To answer this question, I used the double matrix method:
Failed Passed Total
Dented 1/6(0.015x) ?
Incorrect Lab 5/6(0.015x)

Total 0.015x 0.985x x

My understanding is that the ? is what we should be looking for? The answer is D

[RonPurewal]

Of the cans of peaches inspected yesterday at a certain plant, 1.5 percent failed to pass inspection. Of the cans that failed inspection, 5/6 were incorrectly labeled and the rest were dented. If all of the cans that were incorrectly labeled or dented failed inspection, how many of the cans of peaches inspected yesterday at the plant were dented?

the blue thing means that NONE of the mislabeled or dented cans PASSED inspection.

thus '0' goes in the middle box of each of your first two rows.

once you have that, the rest of the solution should be straightforward.

[cavalli27]

Thank you, Ron! That makes sense!

[RonPurewal]

you're welcome.