In one of his orchards, a farmer harvested 270 apples but realized that 80 of them were unfit for consumption because they were either overripe or ruined by insects. What percentage of apples were actually good for consumption?

Respuesta :

Answer: [tex]70.37\%[/tex]

Step-by-step explanation:

Let be "x" the percentage of apples  that were actually good for consumption.

You know that total number of apples the farmer harvested was 270 apples.  

Then, you can identify that 270 apples represents the [tex]100\%[/tex]

You know that 80 of them were unfit for consumption, so the number of apples  that were good for consumption was:

[tex]270\ apples-80\ apples=190\ apples[/tex]

Then, you can set up the  following proportion in order to find the percentage of apples  that were actually good for consumption:

[tex]\frac{100}{270}=\frac{x}{190}[/tex]

Finally, you must solve for "x" in order to find its value. This is:

[tex](190)(\frac{100}{270})=x\\\\x=70.37\%[/tex]