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.
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