Question

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

Answer 1

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,

`967.5=450+(28.75)x`

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

`\begin{gathered} 967.5-450=(28.75)x \\ 517.5=(28.75)x \\ x=(517.5)/(28.75)\rightarrow x=18 \\ \end{gathered}`

Thus, the number of persons is 18.