Adoctor ordered 300 ml of a 10% solution, but the pharmacy only has 5% and 25% solutions. how many millimeters of each solution should the pharmacist mix to get the prescribed medication for the man?

We have 5% and 25% solutions and we need 300 ml of 10%.

Setting up 2 equations:

A) x + y = 300

B) .05 x + .25 y = (.10 * 300)  Multiplying A) by -.25

A) -.25x -.25y = -75  Then adding this to B) we get

-.20 x = -45

x = 225 ml .05% and we use 75 ml of 25%

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