Carlon plans to evaporate a number of gallons of water from 90 gallons of a 15% salt solution to make a 25% salt solution. Which equation can he use to find x, the number of gallons that should be evaporated?

Original
(Gallons)
Removed
(Gallons)
New
(Gallons)
Amount of Salt
13.5
0

Amount of Solution
90
x

StartFraction 13.5 Over 90 minus x EndFraction = StartFraction 25 Over 100 EndFraction
StartFraction 13.5 Over x EndFraction = StartFraction 25 Over 100 EndFraction
13.5 (90 minus x) = 0.25
13.5 (90 minus x) = 25

actually the right answer is A

Step-by-step explanation:

if you solve it you get x=36 but remember that x is the amount of water that you need to evaporate so if you want to check it just subtract it from 90 and the salt will be 25%

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step-by-step explanation:

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answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204