Problema Solution

A baseball game has home games on Friday and Sunday. The two games together earn $3111.50 for the team. Friday's game generates $264.50 less than Sunday's game. How much money was taken in at each game?

Answer provided by our tutors

let


x = the money taken on Friday


y = the money taken on Sunday


The two games together earn $3111.50 for the team:


x + y = 3111.50


Friday's game generates $264.50 less than Sunday's game:


x = y - 264.50


by solving the system of equations:


x + y = 3111.50


x = y - 264.50


we find:


x = $1,423.5


y = $1,688


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There were $1,423.5 taken in at the Friday's game and $1,688 taken in at the Sunday's game.