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Tony and Kurt get the same salary. Every month Tony saves 

9

11

 of his salary while Kurt saves 

7

9

 of his salary. Every year Tony saves $1344 more than Kurt. Find the monthly salary of Tony.

 Feb 5, 2020
 #1
avatar+18229 
+1

Tony and Kurt get the same salary. Every month Tony saves 9/11 ths of his salary while Kurt saves 7/9 ths of his salary:

Tony saves $1344.00 more than Kurt.

 

Let x represent the salary:

 

(9/11)x  =  (7/9)x + 1344

 

Multiply all the terms by the common denominator, 99:     99·(9/11)x  =  99·(7/9)x + 99·1344

                                                                                           --->     81x  =  77x + 133056    

Subtract 77x from both sides:                                            --->       4x  =  133056

Divide both sides by 4:                                                      --->         x  =  $33,264.00

 Feb 5, 2020
 #2
avatar+107011 
+1

Tony saves 1344/12   =  $112  per month more than Kurt

 

So....let x be the monthly salary for both

 

So

 

(9/11) x   =   (7/9)x   +  112            multiply through by  99

 

81x  = 77x  + 11088     subtract  77x  from both sides

 

4x  = 11088      divide both sides by  4

 

x  = $2772   = monthly salary for both

 

 

cool cool cool

 Feb 5, 2020

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