An inheritance of 1800000 is to be divided among Scott Alice

An inheritance of $1,800,000 is to be divided among Scott. Alice, and Tricia in the following manner Aliceis to recetve 8/9 of what Scott gets, while Tricia gets 1/9 of what Scott gets How much does each receive? Scott gets $.

Solution

total inheritance=$1,800,000

let scott get share=$x

then alice get share=8x/9

then tricia get share=1x/9

according to statement

x+8x/9+x/9=1800000

(9x+8x+x)/9=1800000

18x/9=1800000

2x=1800000

x=900000

hence scott gets $900000

alice gets 8x/9=8(900000)/9

=$800000

tricia gets x/9=900000/9

=$100000