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Problem Solving (PS) | Re: 1 unit of x% alcohol is mixed with 3 units of y% alcohol to give 60%

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Mohammad Ali Khan wrote:

nick1816 wrote:
x.........y
....60....
1.........3

\(\frac{x-60}{60-y}\) =3/1
x+3y=240...(1)
x=240-3y=3(80-y)

We have 2 constraints
1. x=<100
2. x>y
Also, x will be a multiple of 3

x can be 99,96.....63
At x=60, y=60....Hence x can't take value equal to 60 or lower than 60.
Total number of integer values x can take=[\(\frac{99-63}{3}\) ]+1=13



DisciplinedPrep wrote:
1 unit of x% alcohol is mixed with 3 units of y% alcohol to give 60% alcohol. If x > y, how many integer values can x take?

A. 10
B. 20
C. 35
D. 13
E. 30

...

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