A basketball concession stand sells soda for $1.50, a bag of popcorn for $.50, and a candy bar for $1.25. At one game, 17 fewer candy bars were sold than bags of popcorn. That same night, the number of sodas sold was 7 more than the number of candy bars and bags of popcorn sold altogether. If the concession stand made $130 that night, how many of each item were sold?
Let the number of popcorn bags sold =P
[ P - 17] = candy bars sold
{[ P - 17]+P+7}=sodas sold
0.5P + 1.25[P - 17] + 1.5[P - 17 + P + 7] =130, solve for P.
P = 35 - bags of popcorn were sold
35 - 17 =18 - candy bars were sold
35 - 17 + 35 + 7 =60 - sodas were sold.
Check: [35 x $0.5] + [18 x $1.25] + [60 x $1.50]=$130.00
