1.) How many quarts of pure water should be combined with an unknown amount of solution containing 50% ammonia to obtain 10 quarts of a solution with 10% ammonia? ) A bank earned $900,000 in profits last year. It has a 5return on mortgages and a 10% return on car loans. The bank has 10, 000, 000 loan accounts in total. How many mortgages and car loans each does it have?

Step-by-step explanation:

So, 4 quarts of 10% antifreeze consists of .1 * 4 = .4 quarts of antifreeze.

x quarts of pure antifreeze consists of x quarts of antifreeze.

Mixing them together, the proportion of the solution that is antifreeze is given by

   (.4 + q)/(4 + q).

We want to solve for a solution consisting of 50% antifreeze,

   (.4 + q)/(4 + q) = .5 -> q = 3.2.

So, 3.2 quarts of pure antifreeze is required.

Step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)