Question

Mike has a certain amount of money and is given $25.25 more money. Anthony has three times the total that mike has plus $5.48 extra dollars. Their combined total is $261.23. Write an equation and solve it to determine how much each of them has.

Answer 1

Mike has =$63.94

Anthony = $197.3

Explanation:

Step one:

let the certain amount that Mike has be x

so

in all Mike has = (x+25.25)

Anthony has

3(x+25.25)+5.48

we are told that the total amount for both Mike and Anthony is

$261.23

so

(x+25.25)+3(x+25.25)+5.48=261.23

open bracket

x+25.25+3x+75.75+5.48=261.23

collect like terms

x+3x+25.25+75.75+5.48=261.23

4x+106.48=261.23

4x=261.23-106.48

4x=154.75

divide both sides by 4

x=154.75/4

x=38.69

Hence,in all

Mike has = (38.69+25.25)

Mike has =$63.94

Anthony has

=3(38.69+25.25)+5.48

=3(63.94)+5.48

=191.82+5.48

=$197.3