Question

in a football tournament, the bees scored 9 less than three - times as many points as the hornets. the bees scored 28 more points than the hornets. together the three teams scored 124 points. let x represent the number of points scored by the hornets. complete the steps to solve the equation (3x - 9)+x+(x + 28)=124. 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? 1 points

Explanation:

Step1: Combine like - terms

Combine the \(x\) terms in the equation \((3x - 9)+x+(x + 28)=124\).
\(3x+x+x-9 + 28=124\), which simplifies to \(5x+19 = 124\).

Step2: Use the subtraction property of equality

Subtract 19 from both sides of the equation \(5x+19 = 124\).
\(5x+19-19=124 - 19\), so \(5x=105\).

Step3: Use the division property of equality

Divide both sides of the equation \(5x = 105\) by 5.
\(\frac{5x}{5}=\frac{105}{5}\), so \(x = 21\).

Step4: Find the Bees' score

The Bees scored 9 less than three times as many points as the Hornets. The Hornets' score is \(x = 21\). Three times the Hornets' score is \(3x=3\times21 = 63\), and 9 less than that is \(3x-9=63 - 9=54\).

Answer:

54