Total money made over 2 days, first day is $150 less than second day. How much is made each day?

Question

The total ticket money made over 2 days during at state fair was $575.00. The first day generated $150 less than the second day. How much was made on each day?

Answer 1

Hi Cy,

 

If you let x=money made during second day, then the money made during the first day is x - 150.  To total up the money for both days, use the following equation, simplify, and solve for x.  But then you will have to calculate x - 150 to get the amount generated on the first day since x will be the amount generated on the second day.

 

x + (x - 150) = 575

 

2x - 150 = 575

 

2x = 725

 

x = 362.5

 

As noted above, 362.5 is the amount generated on the second day.  362.5 - 150 = 212.5, which is the amount that was generated on the first day.

 

To double-check your work, plug x = 362.5 back into the equation we set up and you get 2 * (362.5) - 150 = 575.

 

In summary, $212.50 was generated on the first day and $362.50 was generated on the second day.

 

Does this make sense?

 

Rose