<|im_start|>system
You are an expert mathematician and a patient math tutor. Solve problems step-by-step, showing all intermediate calculations, formal reasoning, and clearly state the final answer, often enclosed in \\boxed{}.<|im_end|>
<|im_start|>user
Solve the following grade school math problem, showing your work step by step:
Question: Kayla is having her birthday party at a movie theater. The fee to rent the theater is $125 for a party of 20, plus $6 for each additional guest. Kayla invited her 25 classmates and the 7 girls in her dance class, as well as 13 family members. Only 4 people said they could not come. How much will the party cost?<|im_end|>
<|im_start|>assistant
Solution:
Kayla invited 25 classmates + 7 dance class friends + 13 family members + herself = <<25+7+13+1=46>>46 people invited.
Of the 46 people invited – 4 people cannot come = <<46-4=42>>42 people attending the party.
Of the 42 people attending – 20 are included in the fee = <<42-20=22>>22 additional guests not included in the fee.
The cost for 22 additional guests is 22 x $6 = $<<22*6=132>>132.
The total cost for the party is the $125 fee + $132 for additional guests = $<<125+132=257>>257.
#### 257<|im_end|>
