+0

# help

0
36
2

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
+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
+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

Feb 5, 2020