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A group of friends are going ice skating. The price of admission is \( \$ 3.25 \). As a group, they spent \( \$ 14 \) on refreshments. If they spent a total of \( \$ 30.25 \) on admission and refreshments, how many friends went ice skating? 2 friends 5 friends 14 friends 53 friends

Ask by Cook Gross. in the United States
Feb 12,2025

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5 friends went ice skating.

Solución

Let's denote the number of friends who went ice skating as \( x \). Given: - The price of admission is \( \$3.25 \). - The group spent \( \$14 \) on refreshments. - The total spent on admission and refreshments is \( \$30.25 \). We can set up the equation based on the given information: \[ 3.25x + 14 = 30.25 \] Now, we can solve for \( x \) to find the number of friends who went ice skating. Solve the equation by following steps: - step0: Solve for \(x\): \(3.25x+14=30.25\) - step1: Move the constant to the right side: \(3.25x=30.25-14\) - step2: Subtract the numbers: \(3.25x=16.25\) - step3: Divide both sides: \(\frac{3.25x}{3.25}=\frac{16.25}{3.25}\) - step4: Divide the numbers: \(x=5\) The number of friends who went ice skating is 5 friends.

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To find out how many friends went ice skating, we first need to subtract the cost of refreshments from the total amount spent. The total spent was \( \$ 30.25 \) and they spent \( \$ 14 \) on refreshments. So, the amount spent on admission is: \[ 30.25 - 14 = 16.25 \] Next, we can determine how many friends went ice skating by dividing the total spent on admission by the price of admission per person: \[ \frac{16.25}{3.25} = 5 \] Therefore, the number of friends who went ice skating is 5.

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