if a prize of $1800 is divided between 2 people in the ratio 5:4, how much should each person recieve

Question

HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

5x + 4x = 1800

Solve for x.

Then 5x is the amount one person gets, and 4x is the amount the other gets.

Answer 2

Let x = the smaller amount

Let 1800 - x = the larger amount

     x         =   5       Cross multiply.

1800 - x        4

 

9000 - 5x = 4x

9000 = 9x

$1000 = x

1800 - x = 1800 - 1000 = $800