Solution One Gallon
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Solution One Gallon

i need the equation or the solution with thiz....plz.......?
*The sum of two consecutive even integers is 102. Find the largest integer.
*How many gallons of a mixture containing 80% alcohol should be added to 6 gallons of a 25% solution to give a 30% solution.
*Two cars , 325 kilometers apart, travel toward each other. One car travels at a rate of 70 km/h and the other 60 km/h after. How many hours will thwy meet??
102/2=51 therefore the integers are the one before and the one after 51. They are 50,52.
let x be the amount of 80%alcohol solution added
gallons of alcohol alcohol concentration total gallons
1.5 0 .25 6
0.8x 0 .8 x
1.5+0.8x 0.3 6+x
0.3(6+x)=1.5+0.8x
1.8+0.3x=1.5+0.8x
0.5x=0.3
x=0.6
therefore 0.6 gallons is needed
The total speed is 130km/hr
they met at 325/130=2.5hour
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how much water should be added to one gallon of pure antifreeze to obtain a solution that is 60% antifreeze?
So, in the beginning we have a gallon of antifreeze and we want to add x amount of water. We want the final solution of volume 1+x to be 60% antifreeze. Therefore, we reduce to the algebraic equation
1/(1+x)=0.6
The one original gallon of antifreeze, divided by the total volume of the mixture, must be 0.6.
Solving this gives:
1 = 0.6 + 0.6x
0.4 = 0.6x
x = 2/3
We add 2/3 gallons of water.
=D
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