Question

If p+q has the value that is exactly 1/3 less than p what is the value of q

Answer 1

q = -
`(1)/(3)` p

Explanation:

`(1)/(3)` less than p =
`(2)/(3)` p

Thus

p + q =
`(2)/(3)` p ( multiply through by 3 to clear the fraction )

3p + 3q = 2p ( subtract 3p from both sides )

3q = - p ( divide both sides by 3 )

q = -
`(1)/(3)` p