Question

A farmer sells 8.7 kilograms of apples and pears at the farmer's market. 3/5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answer 1

`8.7 = (3)/(5)*8.7 + P`

Where P represent the kilograms of pears for this case and if we solve for P we got:

`P = 8.7 - (3)/(5) *8.7 = 8.7 (1- (3)/(5))= 8.7 *(2)/(5) = 3.48 Kg`

And we can check that the total sum is 8.7:

`5.22 +3.48 = 8.7`

So then the final answer would be 3.48 Kg of pears

Explanation:

For this case we know that the total amount sold was 8.7 Kg. And we know in addition that 3/5 of this weight is from apples. So then the rest
`1- (3)/(5) = (2)/(5)` correspong to pears.

We can set up the following equation:

`8.7 = (3)/(5)*8.7 + P`

Where P represent the kilograms of pears for this case and if we solve for P we got:

`P = 8.7 - (3)/(5) *8.7 = 8.7 (1- (3)/(5))= 8.7 *(2)/(5) = 3.48 Kg`

And we can check that the total sum is 8.7:

`5.22 +3.48 = 8.7`

So then the final answer would be 3.48 Kg of pears