The best sports dorm on campus, Lombardi House, has won a total of 11 games this semester.
Some of these games were soccer games, and the others were football games. According to the
rules of the university, each win in a soccer game earns the winning house 2 points, whereas
each win in a football game earns them 3 points. If the total number of points Lombardi House
earned was 27, how many of each type of game did they win?
Solution
let x be the number of soccer games won let y be the number of football games won
x + y = 11 ........ (1) (total games won) 2x + 3y = 27 .......(2) (total points earned) from equation
(1), x = 11 - y substitute x = 11 - y into equation (2) 2(11-y) + 3y = 27 22 - 2y + 3y = 27 y = 27 -
22 = 5 x = 11 - y = 11 - 5 = 6 so Lombardi House won 6 soccer games and 5 football games.
Web & Social Media Analytics Previous Year Question Paper.pdf
The best sports dorm on campus, Lombardi House, has won a total of 1.pdf
1. The best sports dorm on campus, Lombardi House, has won a total of 11 games this semester.
Some of these games were soccer games, and the others were football games. According to the
rules of the university, each win in a soccer game earns the winning house 2 points, whereas
each win in a football game earns them 3 points. If the total number of points Lombardi House
earned was 27, how many of each type of game did they win?
Solution
let x be the number of soccer games won let y be the number of football games won
x + y = 11 ........ (1) (total games won) 2x + 3y = 27 .......(2) (total points earned) from equation
(1), x = 11 - y substitute x = 11 - y into equation (2) 2(11-y) + 3y = 27 22 - 2y + 3y = 27 y = 27 -
22 = 5 x = 11 - y = 11 - 5 = 6 so Lombardi House won 6 soccer games and 5 football games
