A garden has \(x\) rows, and each row contains \((x+7)\) flowers. If there are 330 flowers in total, how many rows are there?
Answer and explanation
Correct answer: 15
The total number of flowers gives \(x(x+7)=330\), or \(x^2+7x-330=0\). Factoring gives \((x-15)(x+22)=0\), so \(x=15\) or \(x=-22\). Since the number of rows cannot be negative, the valid answer is 15. In word problems, always reject a root that is impossible in the given context.
Frequently asked questions
What is the correct answer to this question?
15
Why is this the correct answer?
The total number of flowers gives \(x(x+7)=330\), or \(x^2+7x-330=0\). Factoring gives \((x-15)(x+22)=0\), so \(x=15\) or \(x=-22\). Since the number of rows cannot be negative, the valid answer is 15. In word problems, always reject a root that is impossible in the given context.
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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