Stuck with a current word problem

find how many quarts of 5% butterfat milk and 1% butterfat milk should be mixed to yield 100 quarts of 3% butterfat milk

50 quarts of 5% butterfat and 1% butterfat milk are to be mixed.

SOLUTION:

First, I will set up my table. I will fill in the unknowns with variables x and y.

The table is attached below

From the table attached below, we can easily set up the two equations.  

Sum of values of two milks = Value of mixture  

0.05x + 0.01y = 3  

For convenience, we'll multiply the entire equation by 100,

5 x + y = 300 ------> (1)  

Now, Sum of amounts of each acid = Amount of mixture  

x + y = 100 ---------> (2)

Subtracting equation (2) from (1),  

( + ) 5 x + y = 300

( − ) x -  y = 100

− − − − − − − −

( = ) 4x + 0y = 200  

Thus, 4x = 200  

x = 50

Substituting x = 50 in (2),

( 50 ) + y = 100  

y  = 100 – 50 = 50  

hence, 50 quarts of 5% butterfat and 1% butterfat milk are to be mixed.

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).

25/6

step-by-step explanation:

you multiply 4 by the denominator (4*6=24) and add it to the numerator which makes it 25/6.