The number (x) in: "1 more than three times a number is 478" is what we are solving here.
In other words, you are looking for a number (x) that if you multiply it by three (same as three times) and then add 1, you get 478.
To solve this, you first write the problem as an algebra equation as follows: 3x + 1 = 478
Then you solve the equation by subtracting 1 from both sides, and then divide both sides by 3. Here is the math to
illustrate better:
3x + 1 = 478
3x + 1 - 1 = 478 - 1
3x = 477
3x/3 = 477/3
x = 159
Answer = 159
Note: All answers are rounded to the nearest two decimals.
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