Charmaine, Michael and Abdul have a total of #$160# in their wallets. Michael has #$10# more than Charmaine. Abdul has #4# times what Charmaine has. How much does each have?

1 Answer
Jun 10, 2018

Charmaine has #$25#,
Michael has #$35#
Abdul has #$100#

Explanation:

Reading the information given allows us to realise that Charmaine has the least money. The money that the others have is given compared to her money. Choose a variable for Charmaine's money

Let the amount of Charmaine's money be #x#.
Micheal has #$10# more. Michael has #(x+10)#
Abdul has #4# times more. Abdul has #(4x)#

Together they have #$160#

#x+ (x+10) + (4x) = 160#

#6x+10 = 160#

#6x = 160-10" "larr# subtract #10# from both sides

#6x = 150" "larr div 10# on both sides.

#x=25#

So Charmaine has #$25#

Michael has #$25+$10 = $35#

Abdul has #4xx $25 = $100#