Question

Members of a lacrosse team raised $2863.50 to go to a tournament. They rented a bus for $1087.50 and budgeted $74 per player for meals. Which equation or tape diagram could be used to represent the context if xx represents the number of players the team can bring to the tournament?

Answer 1

Linear equations - The team can bring its 24 players

What do you mean by linear equations with one variable?

A linear equation with one variable is one that can be written as ax+b = 0, where a and b are two integers, and x is a variable. This type of problem only has one solution. For instance, the linear equation 4x+4=8 only has one variable.

We are given that,
the total money raised by the lacrosse team is given to be $2863.50
bus rented at a cost of $1087.50
meal budget per person is calculated to be $74

let us assume the number of players the team can bring to the tournament to be "x".
bus rent + (meal budget * number of players) = total money raised
= 1087.50 + (74*x) = 2863.50
= 1087.50 + 74x = 2863.50
= 74x = 2863.50 - 1087.50
= 74x = 1776
= x = 1776 ÷ 74
= x = 24

Thus the team can bring its 24 players.