There were 346 tickets purchased for a major league baseball game. The lower reserved tickets cost $9.50 and the upper reserved tickets cost $8.00. The total amountof money spent was $3224.00. How many of each kind of ticket were purchased?
Accepted Solution
A:
Answer:The total number of lower reserved tickets is 304 andThe total number of upper reserved tickets is 42 Step-by-step explanation:Given as :The total tickets purchased = 346The price for lower tickets = $ 9.50The price for upper tickets = $ 8.00The total amount spent on tickets = $ 3224Let the number of lower tickets = LThe number of upper tickets = UNow, According to questionL + U = 346 ........1And 9.50 L + 8 U = 3224 ....2so , 8 ( L + U ) = 346 × 8or, 8 L + 8 U = 2768And 9.50 L + 8 U = 3224Now, solving equation ( 9.50 L + 8 U ) - ( 8 L + 8 U ) = 3224 - 2768Or, 1.50 L + 0 = 456Or, L = [tex]\frac{456}{1.50}[/tex]∴ L = 304Put the value of L in eq 1So, L + U = 346 I.e U = 346 - LOr, U = 346 - 304∴ U = 42Hence The total number of lower reserved tickets is 304 andThe total number of upper reserved tickets is 42 . Answer