Question

in a soccer league, each team earns 1 point for each game the team plays that ends in a draw and 3 points for each game the team wins. a certain team in this league has earned 44 points. which equation represents this situation, where d represents the number of games this team has played that ended in a draw and w represents the number of games this team has won?
a d + 3w = 44
b 3d+w = 44
c d+\frac{w}{3}=44
d \frac{d}{1}+w = 44

Explanation:

Step1: Calculate points from drawn games

Each draw earns 1 point and there are $d$ drawn - games, so points from draws is $1\times d=d$.

Step2: Calculate points from won games

Each win earns 3 points and there are $w$ won - games, so points from wins is $3\times w = 3w$.

Step3: Find total points equation

The total points of the team is 44, which is the sum of points from draws and wins. So the equation is $d + 3w=44$.

Answer:

A. $d + 3w = 44$