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Question 693768: Nine times a number is 17 more than three times that number.
Answer by RedemptiveMath(80) (Show Source):
You can put this solution on YOUR website! There are certain words we need to look for in these word problems. Let us analyze our statement:
Nine times a number is 17 more than three times that number.
"Times" means multiplication and "a number" means a variable. So, we can write the first part of our equation:
9 * x (9 times a number) or 9x (we don't have to write a multiplication sign between 9 and the variable).
"Is" means equals. So, we already have the first side of our equation:
9x =...
"More" means addition. So, we can write "17 more" into math language:
9x = 17 +...
We know what "times" means, and since the statement says "that number", we use the same variable. ("That" refers to the variable already mentioned).
9x = 17 + 3x.
There is your equation. Depending on your teacher, you may want to put the number with the variable in front. In other words, you may want to write
9x = 3x + 17.
This would be the normal case for writing equations.
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