Bill has saved $825 from his last 8 paychecks. he saved either $75 or $150 a paycheck. for the 8 paychecks, how many times did bill save $75 from his paycheck?

Declaration

Let x = number of times he saved 75 dollars.

Let y = number of times he saved 150 dollars

Equations

75*x + 150*y = 825      (1)

x + y = 8                       (2)

Solve

Multiply 2 by 75

75x + 150y = 825    

75x + 75y =   600               (3)   Subtract (3) from (2)

         75y = 225                  Divide by 75

              y = 225/75

              y = 3

Therefore x = 8 - 3 =5

Conclusion

Be very careful what you conclude from this

x = the number of 75 dollars saved.  The total for 75 dollars * 5 = 375

y = the number of 150 dollars saved. The total for 150 dollars * 3 = 450    Add

Total                                                                                                       825

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: