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members of a soccer team raised $1818.50 to go to a tournament. they re…

Question

members of a soccer team raised $1818.50 to go to a tournament. they rented a bus for $960.50 and budgeted $35.75 per player for meals. write and solve an equation which can be used to determine p, the number of players the team can bring to the tournament. answer attempt 1 out of 2 equation: answer: p=

Explanation:

Step1: Set up the equation

The total amount raised is used for bus rental and meal - budget for players. The bus cost is $960.50$ and the meal cost per player is $35.75$. If the number of players is $p$, then the total cost is $960.50 + 35.75p$. And the total amount raised is $1818.50$. So the equation is $960.50+35.75p = 1818.50$.

Step2: Solve the equation for $p$

Subtract $960.50$ from both sides of the equation:

$$\begin{align*} 960.50+35.75p-960.50&=1818.50 - 960.50\\ 35.75p&=1818.50 - 960.50\\ 35.75p&=858 \end{align*}$$

Then divide both sides by $35.75$: $p=\frac{858}{35.75}=24$.

Answer:

Equation: $960.50 + 35.75p=1818.50$