Let's break down the problem step by step.
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Identify Total Expenditure: The total amount spent by the group is $30.75.
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Refreshments Cost: The group spent $12 on refreshments.
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Tickets Cost: The money spent on tickets can be calculated by subtracting the refreshment cost from the total expenditure: \[ \text{Total ticket cost} = \text{Total spent} - \text{Refreshments cost} = 30.75 - 12 = 18.75 \]
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Cost per Ticket: The price of each ticket is $6.25.
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Determine the Number of Tickets: To find the number of tickets, we can set up the following equation: \[ \text{Number of tickets} = \frac{\text{Total ticket cost}}{\text{Cost per ticket}} = \frac{18.75}{6.25} \]
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Solve for the Number of Tickets: \[ \frac{18.75}{6.25} = 3 \]
So, the number of people who went to the movies is 3.
Summary
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Equation representing the scenario: \[ \text{Total spent} = (\text{Number of tickets} \times \text{Cost per ticket}) + \text{Cost of refreshments} \] or specifically: \[ 30.75 = (x \cdot 6.25) + 12 \] where \(x\) is the number of tickets.
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Number of people who went to the movies: 3.