SOLUTION: In 2020 a​ city's budget is projected to be ​$37 million. This is approximately 15/11 of the 2000 budget. What was the​ city's budget in​ 2000?
Algebra.Com
Question 1092288: In 2020 a city's budget is projected to be $37 million. This is approximately 15/11 of the 2000 budget. What was the city's budget in 2000?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
in 2020, the city'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.
RELATED QUESTIONS
In 2020 a city's budget is projected to be $27 million. This is... (answered by ikleyn)
In 2020 a city's budget is projected to be $36 million. This is... (answered by ikleyn)
In 2020 a city's budget is projected to be 33 million, This is approximately 17/14 of... (answered by TimothyLamb,stanbon)
a.a.
In 2000, the population of a country was approximately 6.27 million and by 2097it... (answered by josgarithmetic)
The table to the right shows the coordinates of six cities from a rectangular coordinate... (answered by Alan3354)
A library expansion, begun in 2002, was expected to cost $101... (answered by stanbon)
A library expansion, begun in 2002, was expected to cost $107... (answered by stanbon)
In some country the budget for defense exceeded the budget for education by $622.7 (answered by ikleyn)
In some country the budget for defense exceeded the budget for education by $622.7 (answered by ikleyn)