Respuesta :
Answer:
The total amount spent during 2003 was $725.78.
Step-by-step explanation:
Given:
During the 2004 season, New York theater goers bought 11.3 million tickets for a total of $749.0 . Theater goers spent a total of 3.2% more than the year before.
Now, to find the total amount that was spent during 2003.
Let the amount spent during 2003 be [tex]x.[/tex]
The amount spent during 2004 = $749.0.
As, given theater goers spent a total of 3.2% more than the year before.
So, we put equation to get the amount spent during 2003:
[tex]x+3.2\%\ of\ x=749[/tex]
[tex]x+\frac{3.2}{100} \times x=749[/tex]
[tex]x+\frac{3.2x}{100}=749[/tex]
[tex]\frac{100x+3.2x}{100} =749[/tex]
[tex]\frac{103.2x}{100} =749[/tex]
Multiplying both sides by 100 we get:
[tex]103.2x=74900[/tex]
Dividing both sides by 103.2 we get:
[tex]x=\$725.78[/tex]
Therefore, the total amount spent during 2003 was $725.78.
