Question

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♦ 2025 plants are to be planted in a garden such that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row?

♦ The students of grade 8 donated ₹2401 in all for prime minister's national relief fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class?

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Answer 1

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Answer 2

1. Let the Number of Plants Rows be : N

Given that Each Row Contains as many plants as the number of rows

⇒ Each Row contains 'N' number of Plants

⇒ The Total Number of Plants = Number of Rows × Number of Plants in each Row

⇒ The Total Number of Plants = N × N

Given the Total Number of Plants in the Garden = 2025

⇒ N × N = 2025

⇒ N² = 2025

⇒ N = 45

⇒ The Number of Rows = 45

⇒ The Number of Plants in each Row = 45

2. Let the Number of students in the 8th Grade be : S

Given that Each student donated as many rupees as the Number of students in the class.

⇒ Each student Donated : S rupees

⇒ Total amount donated by the students = Number of Students in the Class × S rupees

⇒ Total amount donated by the students = S × S

Given the Total amount donated to PMNRF : 2401 rupees

⇒ S × S = 2401

⇒ S² = 2401

⇒ S = 49

So the Total Number of students in the 8th Grade = 49