An 800 seat complex is divided into 3 theater. There are 270 seats in theater 1. There are 150 more seats in theatre 2 than in t
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Let 'a' be the number of ounces of 2%-solution in the 25-ounce mixture
and 'b' be the number of ounces of 5%-solution in the 25-ounce mixture.
Since, fluid ounces of each concentration should be combined to make 25 fl oz.
So, a+b=25 (Equation 1)
And, a container of 2% acid solution and a container of 5% acid solution should be combined to make 25 fl oz of 3.2% acid solution.
So, a of 2% + b of 5% = 3.2% of 25
Multiplying the above equation by 100, we get
(Equation 2)
Substituting the value of a=25-b in equation 2, we get
Since, a=25-b
a= 25-10
a=15.
So, 15 fluid ounces of 2% solution combined with 10 ounces of the 5% solution to create a 25-ounce mixture at 3.2% concentration of acid.
Given:
Consider the given equation is:
To find:
The missing exponent.
Solution:
Let x be the missing exponent. Then the given equation can be written as
It can be rewritten as:
On comparing the coefficient of m, we get
Therefore, the value of the missing exponent is 8. So, the complete equation is .