A garden has \(x\) rows, and each row contains \(x+11\) plants. If there are 702 plants in total, how many rows are there?
Answer and explanation
Correct answer: 26
The total number of plants gives \(x(x+11)=702\). Thus, \(x^2+11x-702=0\), which factors as \((x-26)(x+27)=0\). So \(x=26\) or \(x=-27\); a number of rows cannot be negative, so \(x=26\) is correct. Remember that 27 is the number of plants in each row, not the number of rows.
Frequently asked questions
What is the correct answer to this question?
26
Why is this the correct answer?
The total number of plants gives \(x(x+11)=702\). Thus, \(x^2+11x-702=0\), which factors as \((x-26)(x+27)=0\). So \(x=26\) or \(x=-27\); a number of rows cannot be negative, so \(x=26\) is correct. Remember that 27 is the number of plants in each row, not the number of rows.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.
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