# math

posted by .

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)
c)20?h+p
d) 20m/h+p
e) 20m+100h/m+h+p

• 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

## Similar Questions

1. ### algebra

moonshine has 50 liters of a 70% alcohol solution.how many liters of pure alcohol must be added to obtain an 80% alcohol solution?
2. ### Math

Suppose you have two alcohol+water solutions. One solution ( of volume x liter ) is 45% alcohol, while the second solution (of volume y liter) is 75% alcohol. What values of "x" and "y" (in liters) will fill a total volume of 5.0 liter …
3. ### Math

Solution A is 80% Alcohol and Solution B is 30% Alcohol. How many Liters of each Solutions should be mixed in order to make 200 liters of a Solution that is 62% Alcohol ?
4. ### Algebra 1

A lab technician has a 15 percent alcohol solution and a 35 percent alcohol solution. She wants to make 100 gallons of a 29 percent alcohol solution. How much of the 15 percent solution should she use?
5. ### math

in the lab, tom has two solutions that contain alcohol and is mixing them with each other. he uses 300 millilters less of solution A than solution B. solution A is 10% alcohol and solution B is 13% alcohol. How many millilters of solution …
6. ### math

An alcohol solution consists of 6 gallons of pure water and x gallons of alcohol, x > 0. Let f(x) be the ratio of the volume of alcohol to the total volume of liquid. [Note that f(x) is the concentration of the alcohol in the solution.] …
7. ### math

An alcohol solution consists of 6 gallons of pure water and x gallons of alcohol, x > 0. Let f(x) be the ratio of the volume of alcohol to the total volume of liquid. [Note that f(x) is the concentration of the alcohol in the solution.] …
8. ### Science

80ml of methyl alcohol water are mixed to give a solution that has a final volume of 154ml. What is the concentration of the solution expressed as percent by volume methyl alcohol?
9. ### algebra

A laboratory assistant is asked to mix a 30% alcohol solution with 21 liters of an 80% alcohol solution to make a 60% alcohol solution. How many liters of the 30% alcohol solution should be used?
10. ### Algebra

A chemist mixed a 70% alcohol solution with a 30% alcohol solution to make a 45% alcohol solution. How many liters of each were used to make 120 L of a 45% solution?

More Similar Questions