Achemist wishes to mix a 30% acid solution with a 65% acid solution to obtain 175 quarts of 55% acid solution . how many quarts of each solution should be mixed toguether?

x = quarts of 30% acid solution

y = quarts of 65% solution

x + y = 175

Each quart of the 30% solution contributes 0.30x quarts of acid; similarly, each quart of the 65% solution contributes 0.65y quarts of acid. So

0.3x + 0.65y = 0.55*175 = 96.25

That is, the chemist wants 175 quarts of a new mixture with a 55% concentration of acid, which comes out to 95.25 total quarts of acid. The total amounts of acid from either sides of this equation must balance out.

Now solve for x and y:

x + y = 175  ==>  y = 175 - x

0.3x + 0.65y = 96.25  ==>  0.3x + 0.65(175 - x) = 96.25

==>  0.3x + 113.75 - 0.65x = 96.25

==>  17.5 = 0.35x

==>  x = 50  ==>  y = 125

the answer is 62

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation: