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 interpret the statement correctly. \n\n1. **Understanding 250% of x**: \n - 250% of x can be expressed as (250/100) * x = 2.5x. \n\n2. **Increased by 250%**: \n - To increase something by 250% means to add 250% of that value to it. This can be calculated as: \n - 250% of 2.5x = (250/100) * 2.5x = 6.25x. \n - Therefore, increasing 2.5x by 250% gives us: \n - New value = 2.5x + 6.25x = 8.75x. \n\n3. **Setting up the equation**: \n - According to the problem, this new value is equal to 350. So, we can set up the equation: \n - 8.75x = 350. \n\n4. **Solving for x**: \n - To find x, we divide both sides by 8.75: \n - x = 350 / 8.75. \n - Calculating this gives: \n - x = 40. \n\n5. **Final Result**: \n - Therefore, the value of x is 40.