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Eduardo won 3131 small prizes playing the bean bag toss at the county fair. At school, he gave 22 of his prizes to every student in his math class. Now he has 33 prizes left. Write and solve an equation to find xx, the number of students in Eduardo's math class.

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Q. Eduardo won 3131 small prizes playing the bean bag toss at the county fair. At school, he gave 22 of his prizes to every student in his math class. Now he has 33 prizes left. Write and solve an equation to find xx, the number of students in Eduardo's math class.
  1. Write Equation: question_prompt: How many students are in Eduardo's math class if he gave away 22 prizes to each and has 33 left after starting with 3131?
  2. Solve for x: Step 11: Let's write the equation. Eduardo started with 3131 prizes and gave away 22 prizes to each student. He has 33 prizes left. So, the equation is 312x=331 - 2x = 3, where xx is the number of students.
  3. Find Value of x: Step 22: Now, we solve for xx. Subtract 33 from both sides of the equation to isolate the term with xx. So, 313=2x31 - 3 = 2x. That gives us 28=2x28 = 2x.
  4. Find Value of x: Step 22: Now, we solve for xx. Subtract 33 from both sides of the equation to isolate the term with xx. So, 313=2x31 - 3 = 2x. That gives us 28=2x28 = 2x. Step 33: Next, divide both sides by 22 to find the value of xx. So, 28÷2=x28 \div 2 = x. That means x=14x = 14.

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