Question #70147

1 Answer
Jun 27, 2017

Alexis's salary is $160.

Explanation:

We can represent their respective salaries as follows:

Gary's salary=x

Alexis's salary=2 1/2xxx=5/2xxx=(5x)/2

James's salary=(x+18)

Their total daily salary is 306, so we can write:

x+(5x)/2+(x+18)=306

Open the brackets and simplify.

x+(5x)/2+x+18=306

2x+(5x)/2+18=306

Multiply all terms by 2 and then simplify.

(2xx2x)+(2xx(5x)/2)+(2xx18)=306xx2

(4x)+(1cancel2xx(5x)/(1cancel2))+(36)=612

4x+5x+36=612

9x+36=612

Subtract 36 from each side.

9x+36-36=612-36

9x=576

Divide both sides by 9.

(9x)/9=576/9

(1cancel9x)/(1cancel9)=64

x=64

Thus, Gary's daily salary is $64.

Alexis's salary=(5x)/2=(5xx64)/2=(5xx32cancel64)/(1cancel2)=5xx32=160

Thus, Alexis's salary is $160.

James's salary=(x+18)=(64+18)=82

Thus, James's salary is $82.

To check:

64+160+82=306