Question 1192231
The Texas soccer league has set a budget of $1,947 for soccer balls. High-quality game balls cost $43 each 
while lower-quality practice balls cost $14 each. If 79 balls are to be purchased, 
how many balls of each type can be purchased to exactly use up the budgeted amount
Number of game balls =

Number of practice balls =
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x balls for $43 each and  (79-x) balls for $14 each.


The total money equation is

    43x + 14*(79-x) = 1947  dollars.


From the equation

    x = {{{(1947 - 14*79)/(43-14)}}} = 29.


<U>ANSWER</U>.  29 balls for $43 each and the rest, 79-29 = 50 balls for $14 each.


<U>CHECK</U>.  29*43 + 50*14 = 1947  dollars,  total money.   ! Correct !
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Solved.