Kylie had 50 boards. She used some, represented by the variable $u$, and has 5 left. We need to find the equation that represents this situation.

AlgebraEquationVariableWord ProblemLinear Equation
2025/3/6

1. Problem Description

Kylie had 50 boards. She used some, represented by the variable uu, and has 5 left. We need to find the equation that represents this situation.

2. Solution Steps

The total number of boards Kylie had is
5

0. She used $u$ boards, and after using them, she had 5 boards left. This means the initial number of boards minus the number of boards used equals the number of boards left. Therefore, the equation should be:

50u=550 - u = 5
We can check this with an example. Suppose Kylie used 45 boards. Then u=45u=45. So the equation would be 5045=550 - 45 = 5, which is true. The other option is 50÷u=550 \div u = 5. If that were true, then u=50÷5=10u = 50 \div 5 = 10. So 50÷10=550 \div 10 = 5, which is true, but the problem statement says that Kylie had 5 boards left over.

3. Final Answer

50u=550 - u = 5

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