Question

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. What was the totalamount spent during 2003?

Answer 1

The total amount spent during 2003 was $725.78.

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
`x.`

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:

`x+3.2\%\ of\ x=749`

`x+(3.2)/(100) * x=749`

`x+(3.2x)/(100)=749`

`(100x+3.2x)/(100) =749`

`(103.2x)/(100) =749`

Multiplying both sides by 100 we get:

`103.2x=74900`

Dividing both sides by 103.2 we get:

`x=\$725.78`

Therefore, the total amount spent during 2003 was $725.78.