Question

A basket contains 125 flowers. A man goes for worship and puts as many flowers in each temple as there are temples in the city. If the man needs 20 baskets of flowers, find the number of flowers that he puts in each temple.

Answer 1

Hint: - While solving the problem, take/assume the number of temples as $'x'$
Now, he puts $'x'$ flower in temples $'x'$
Thus, by simply equating we can find out the no. of flowers in each temple.

Step by Step solution:
Given, no. of flowers in each basket = 125
Total no. of basket he needs = 20
So, the total number of flowers he requires = $125 \times 20 = 2500$
Now, assume that the total number of temples in the city = $x$
$\therefore $no. of flowers he puts in each temple = $x$
So, the total no. of flower he needs $ = x \times x = {x^2}$
Above we have calculated the no. of flowers = 2500
$\therefore {x^2} = 2500$ [taking sq. root both the sides]
$
   \Rightarrow x = \sqrt {2500} \\
   = \sqrt {5 \times 5 \times 10 \times 10} \\
   = 5 \times 10 \\
   \Rightarrow x = 50 \\
$
$\therefore $ The number of flowers he puts in each temple = 50

Note: - While solving the square root, remember to first take the square on both the sides so that ${x^2}$ simplifies to $x$ and we get the required value.