Jack divided his fortune of $92,000 into 8 equal parts. He gave 4 parts to his wife, 1 part to his son and divided the remaining 3 parts equally among 5 charities. How much more money did his son get than each charity?
Mathematics · Middle School · Thu Feb 04 2021
Answered on
according to the question, Jack divided his fortune of $92,000 into 8 equal parts that means when we divide total amount with total parts then we get amount of one part.
amount of one part = total amount / total parts
total amount = $92000
total parts = 8 parts
amount of one part =92000/8
= $11500
now, given that : wife = 4 parts
that means she got total amount = 4 * amount of one part
=4* 11500
= $46000
son = 1 part
that means he got total amount = $11500 (that is amount of one part)
now, remaining 3 parts are divided equally in 5 charities
that means total amount of 3 parts = 11500*3
= $34500
now according to the question, this amount of 3 parts are divided in 5 charities
so each charity receive total amount= 34500/5
=$6900
now we have to find how much more money did his son get than each charity=?
more money son get than each charity= son total amount- each charity amount
= 11500-6900
=$4600
he get $4600 more amount than each charity.