SOLUTION: 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 p

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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 p      Log On


   



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 =

Answer by ikleyn(52785) About Me  (Show Source):
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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 =
~~~~~~~~~~~~~

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 = %281947+-+14%2A79%29%2F%2843-14%29 = 29.


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


CHECK.  29*43 + 50*14 = 1947  dollars,  total money.   ! Correct !

Solved.