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Eduardo won $31$ small prizes playing the bean bag toss at the county fair. At school, he gave $2$ of his prizes to every student in his math class. Now he has $3$ prizes left. Write and solve an equation to find $x$ , the number of students in Eduardo's math class.

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Sequences: word problems

Full solution

Q. Eduardo won

31

small prizes playing the bean bag toss at the county fair. At school, he gave

2

of his prizes to every student in his math class. Now he has

3

prizes left. Write and solve an equation to find

x

, the number of students in Eduardo's math class.

Write Equation: question_prompt: How many students are in Eduardo's math class if he gave away $2$ prizes to each and has $3$ left after starting with $31$ ?
Solve for x: Step $1$ : Let's write the equation. Eduardo started with $31$ prizes and gave away $2$ prizes to each student. He has $3$ prizes left. So, the equation is $31 - 2x = 3$ , where $x$ is the number of students.
Find Value of x: Step $2$ : Now, we solve for $x$ . Subtract $3$ from both sides of the equation to isolate the term with $x$ . So, $31 - 3 = 2x$ . That gives us $28 = 2x$ .
Find Value of x: Step $2$ : Now, we solve for $x$ . Subtract $3$ from both sides of the equation to isolate the term with $x$ . So, $31 - 3 = 2x$ . That gives us $28 = 2x$ . Step $3$ : Next, divide both sides by $2$ to find the value of $x$ . So, $28 \div 2 = x$ . That means $x = 14$ .

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