Mixture Problem Solution A is 15% acid and solution B is 65% acid. How many liters of solution A and solution B should be mixed together to get a final mixture of 9L with a concentration of 40% acid
a. Solution A 45L and Solution B 4.5L
b. Solution A3L and Solution B 6L
c Solution A 3.75L and Solution B 5.5L
d. Solution A 6L and Solution B 3L

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

$450 i think. hope this ☺

question: match the eqaution with its graph -8x - 5y = 40

answer: 8 x 5 = 40

x= absiss

y= orderly

so you have a proportional graph

question answered by

(jacemorris04)