Calculate Total Flowers: 450 Blooming with 1/10 Withered Problem

Tatiana plants flowers in her garden.

450 flowers bloom,
while the rest$\frac{1}{10}$ of them wither.

How many flowers does Tatiana plant?

To solve this problem, we'll set up a simple equation:

• Let $x$ be the total number of flowers Tatiana plant.
• From the problem statement, we know that 450 flowers bloom. Thus, the remaining $\frac{1}{10}$ of the flowers wither.
• We can express the withered flowers as $\frac{1}{10}x$.
• Set up the equation: blooming flowers plus withering flowers equals the total number of flowers:
  $450 + \frac{1}{10}x = x$
• Subtract $\frac{1}{10}x$ from both sides to isolate the variable:
  $450 = x - \frac{1}{10}x$
• Combine like terms on the right-hand side:
  $450 = \frac{9}{10}x$
• To solve for $x$, divide both sides by $\frac{9}{10}$:
  $x = \frac{450}{\frac{9}{10}}$
• Simplify the division, multiplying by the reciprocal:
  $x = 450 \times \frac{10}{9}$
• Calculate $x$:
  $x = 450 \times \frac{10}{9} = 450 \times 1.1111 = 500$

Therefore, Tatiana plants a total of 500 flowers.