Question

in a football tournament, the bees scored 9 less than three times as many points as the hornets. the wasps scored 28 more points than the hornets. together the three teams scored 184 points. let x represent the number of points scored by the hornets. translate the scenario. hornets = x bees = wasps = x which expression represents this scenario? 3x - 9 - 28 3x - 9 x + 28

Explanation:

Step1: Define the scores of each team

Let the number of points scored by the Hornets be $x$. The Bees scored 9 less than three - times as many points as the Hornets, so the Bees' score is $3x - 9$. The Wasps scored 28 more points than the Hornets, so the Wasps' score is $x + 28$.

Step2: Set up an equation based on the total score

The total score of the three teams is 184. So, we add up the scores of the three teams: $x+(3x - 9)+(x + 28)=184$.
Combine like - terms: $x+3x+x-9 + 28=184$, which simplifies to $5x+19 = 184$.
Subtract 19 from both sides: $5x=184 - 19$, so $5x=165$.
Divide both sides by 5: $x = 33$.
The equation that represents the scenario is $x+(3x - 9)+(x + 28)=184$, which simplifies to $5x+19 = 184$.

Answer:

The equation representing the scenario is $5x+19 = 184$ (derived from $x+(3x - 9)+(x + 28)=184$) where $x$ is the number of points scored by the Hornets.