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DiKsa [7]
3 years ago
7

Stuck with a current word problem

Mathematics
1 answer:
ss7ja [257]3 years ago
3 0

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

<u>SOLUTION: </u>

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.  

<em>Sum of values of two milks = Value of mixture  </em>

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.

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