250% of x is increased by 250% to become 350. What is the value of x?

Answer

To solve for x, we first need to determine what 250% of x is: 1. **Calculate 250% of x:** - 250% can be expressed as a decimal: 250% = 2.5. - Therefore, 250% of x = 2.5x. 2. **Increase 2.5x by 250%:** - Increasing a value by a percentage involves adding that percentage of the value to itself. - 250% of 2.5x equals: - 2.5x * 250% = 2.5x * 2.5 = 6.25x (since 250% as a decimal is 2.5). - We now add this increase to the original value: - Total after increase = 2.5x + 6.25x = 8.75x. 3. **Set the equation equal to 350:** - According to the problem, this total equals 350: - 8.75x = 350. 4. **Solve for x:** - To find x, we divide both sides of the equation by 8.75: - x = 350 / 8.75. - Calculating the division gives: - x = 40. Thus, the value of x is 40.