Using buy-1-get-1-free pricing, it costs 1*$5=$<<1*5=5>>5 to buy 2 triple cheese pizzas.

At $5 per 2 pizzas, it costs $5/2=$<<5/2=2.5>>2.5 per triple cheese pizza.

Using buy-2-get-1-free pricing, it costs 2*$5=$<<2*5=10>>10 to buy 3 meat lovers pizzas.

At $10 per three pizzas, it cost $10/3=$3 and $1/3 per meat lovers pizza.

With the buy-1-get-1-free pricing, 10 triple cheese pizzas are 10*$2.5=$<<10*2.5=25>>25.

With the buy-2-get-1-free pricing, 9 meat lovers pizzas are 9*($3+$1/3)=$30.

In total, for 10 triple cheese and 9 meat lovers pizzas, it will cost $25+$30=$55.

# Answer

55
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Piazzanos Pizzeria has a buy-1-get-1-free special on triple cheese pizzas, and a buy-2-get-1-free special on meat lovers pizzas.  If the standard price for a pizza is $5, how much does it cost, in dollars, to purchase 10 triple cheese and 9 meat lovers pizzas using the special pricing?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
55
Piazzanos Pizzeria has a buy-1-get-1-free special on triple cheese pizzas, and a buy-2-get-1-free special on meat lovers pizzas.  If the standard price for a pizza is $5, how much does it cost, in dollars, to purchase 10 triple cheese and 9 meat lovers pizzas using the special pricing?
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