Question

jim's weekly pay is two thirds of alicia's. together they earn $600 per week. what is each person's weekly pay?

Answer 1

Alicia's is $360 and Jim's is $240

Explanation:

let a be Alicia's weekly wage , then

Jim's is
`(2)/(3)` a , that is two thirds of Alicia's

sum the 2 and equate to 600

a +
`(2)/(3)` a = 600 ( multiply through by 3 to clear the fraction )

3a + 2a = 1800 , that is

5a = 1800 ( divide both sides by 5 )

a = 360

and
`(2)/(3)` a =
`(2)/(3)` × 360 = 2 × 120 = 240

then Alicia's weekly wage is $360 and Jim's is $240