Question 1208492
.
A candy company sells premium chocolate at $5 per pound and regular chocolates at $4 per pound. 
If Barrett buys a 7-pound box of chocolates that costs him $31, how many pounds of premium chocolates are in the box?
~~~~~~~~~~~~~~~~~~~


<pre>
Let x be the number of pounds of premium chocolates in the box.

Then the number of pounds of regular chocolates in the box is (7-x).


Write the cost equation for the box of chocolates

    5x + 4*(7-x) = 31  dollars.


Simplify and find x

    5x + 28 - 4x = 31

    5x - 4x = 31 - 28

        x   =    3.


<U>ANSWER</U>.  There are 3 pounds of the premium chocolate in the box.


<U>CHECK</U>.   The total cost of the box is then  5*3 + 4*(7-3) = 15 + 4*4 = 15 + 16 = 31 dollars.   ! correct !
</pre>

Solved.