John spent a total of $135 on baseball tickets. The price of a ticket

Solution

• John spent a total of $135 on baseball tickets
• The price of a ticket is either $12 for the field seats or $5 for the balcony.

• The minimum amount of dollars he could have spent for the $12 tickets?

• 12x + 5y = 135
• Since we want y to be minimum, let us see if y can 0 then 1, or 2 and so on.

o x =0 then 5y = 135
 for x =0, 12x =0
 However, it is not an option. So, question must have mentioned that john bought at least one ticket of each type.
o 12x = 135 – 5y

 135 is a multiple of 5 and 5y is also a multiple of 5.
 So, 12 x also has to be a multiple of 5.
 12 is not a multiple of 5. So, x must be multiple of 5.
o Hence, x = 0, 5, and so on.
• However, x =0 does not give the answer.
• X=5 or 12x = 60 should the least amount spent by Johnf or $ 12 tickets.