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members of the band raised $967.50 to attend a festival. they rented a bus for $450 and budgeted $28.75 per person for food. they will spend all the money they raised. I need to write and solve an equation to determine the number of people the marching band could bring

Sagot :

The total amount is $967.5

The cost for renting the bus is, $450

The cost for food is, $28.75 per person.

Let x be the number of people the marching band could bring​, then,

[tex]967.5=450+(28.75)x[/tex]

Thus, it is the required equation. On solving we have,

[tex]\begin{gathered} 967.5-450=(28.75)x \\ 517.5=(28.75)x \\ x=\frac{517.5}{28.75}\rightarrow x=18 \\ \end{gathered}[/tex]

Thus, the number of persons is 18.

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