Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
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.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Extra Insights
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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