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. complete the steps to solve the equation (3x - 9) + x + (x + 28) = 184. then answer the question.

1. combine like terms.
2. use the subtraction property of equality.
3. use the division property of equality.
4. use the variable to answer the question.

how many points did the bees score?
points

Explanation:

Step1: Combine like terms

$$(3x - 9)+x+(x + 28)=184$$
$$3x+x+x-9 + 28=184$$
$$5x+19 = 184$$

Step2: Use the subtraction property of equality

Subtract 19 from both sides:
$$5x+19-19=184 - 19$$
$$5x=165$$

Step3: Use the division property of equality

Divide both sides by 5:
$$\frac{5x}{5}=\frac{165}{5}$$
$$x = 33$$

Step4: Find the Bees' score

The Bees' score is \(3x-9\). Substitute \(x = 33\) into \(3x-9\):
$$3\times33-9=99 - 9=90$$

Answer:

90