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a chemist has a solution that is 20 percent alcohol by volume. which of the following expressions represents the percent of alcohol by volume when m litersof the solution is mixed with h liters of pure alcohol and p liters of water?

a) 20(m+h+p)%
b) 20(m+h)/m+h+p)
d) 20m/h+p
e) 20m+100h/m+h+p

please explain

  • math -

    let's look at how much alcohol we have

    we have .2m + h + 0.0p = .2m+h

    what is the total volume ?
    = m+h+p

    so the percentage is (.2m+h)/(m+h+p)(100%)
    = (20m + 100h)/(m+h+p)%

    I suppose e) resembles that if it had the brackets

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