A school has two types of tables: round tables with 6 seats each and rectangular…
MATHEMATICS · Multi-part · AoPS · Mathematics · Multi-Variable Linear Equations · Multi-Variable Linear Equations
Problem
A school has two types of tables: round tables with 6 seats each and rectangular tables with 8 seats each. For a fundraising event, they filled the gym with 25 tables for a total of 190 seats.
(1) Write and solve a system of equations to determine how many round tables, x, and how many rectangular tables, y, were used for the fundraising event. Use either substitution or elimination.
(2) Check your answer by substituting the obtained values into both equations.
(3) Verify your answer graphically by finding the intersection of the two linear equations using Desmos.