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Question
problem: 3
holds 250 people, age 16 paid $2.50 per ticket, while everyone else paid $4.00. show brought in $916
write two equations to represent
Step1: Define Variables
Let \( x \) be the number of people aged 16, and \( y \) be the number of people not aged 16.
Step2: Equation for Total People
The total number of people is 250, so \( x + y = 250 \).
Step3: Equation for Total Revenue
Revenue from age 16: \( 2.5x \), revenue from others: \( 4y \), total revenue is 916, so \( 2.5x + 4y = 916 \).
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The two equations are \( x + y = 250 \) and \( 2.5x + 4y = 916 \) (where \( x \) = number of 16 - year - olds, \( y \) = number of non - 16 - year - olds)