SOLUTION: the product of 5, and 3 more than twice a number, is 85. what is the number?

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Question 419283: the product of 5, and 3 more than twice a number, is 85. what is the number?

Answer by duckness73(47) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the number that we are searching for.
Note that "3 more than twice a number" is 3 + 2x.
The product of 5 and "3 more than twice a number" is 5 (3 + 2x). We know that this product is 85. So, we have:
5 (3 + 2x) = 85
15 + 10x = 85 (distributive property)
10x = 70 (subtracting 15 from both sides)
x = 7 (dividing both sides by 10)
Answer: 7
Checking the work: "3 more than twice a number" is 3 + (2 * 7) = 3 + 14 = 17
The product of 5 and "3 more than twice a number" is 5 * 17 = 85.
Bullseye.