<PRE><B>Question 1092288</B>
in 2020, the city&#39;s budget is 37 million.


this is 15/11 of the 2000 budget.


let x equal the 2000 budget.


then the 2020 budget is equal to 15/11 * x.


if the 2020 budget is equal to 37 million, then 37 million is equal to 15/11 * x


your equation is 37 = 15/11 * x


multiply both sides of this equation by 11/15 and you get 11/15 * 37 = 11/15 * 15/11 * x


11/15 * 37 is equal to 27.13333333..... which is equal to 407/15 which is equal to 27 + 2/15.


11/15 * 15/11 is equal to 1.


equation becomes


27 + 2/15 = 1 * x which becomes 27 + 2/15 = x.


the 2000 budget was 27 + 2/15 million, or approximately 27.13 million rounded to 2 decimal digits.


if you take 27 + 2/15 and multiply it by 15/11, you will get (27 + 2/15) * 15/11 equals 27 * 15/11 + 2/15 * 15/11 which is equal to 405/11 + 2/11 which is equal to 407/11 which is equal to 37.


solution checks out.


the 2000 budget was 27 + 2/15, or 27.13 rounded to 2 decimal digits.










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