Question

1/2 of Cindy's money is equal to 2/3 of Emily's money. They have $105 altogether. How much money does each of them have?

Answer 1

Cindy has $45 and Emily has $60

Explanation:

let x be the amount of money , then

`(1)/(2)` x +
`(2)/(3)` x = 105

multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions

3x + 4x = 630 , that is

7x = 630 ( divide both sides by 7 )

x = 90

Cindy has
`(1)/(2)` × 90 = $45

Emily has
`(2)/(3)` × 90 = $60