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

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

Answer by duckness73(47) (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.
RELATED QUESTIONS
the product of 5 and 3 more than twice a number is 85. What is the number ? I dont know... (answered by Alan3354,Stitch)

the product of 5 and 3 more than twice the number is 85. what is the number? It has to (answered by stanbon)

The product of 4 and a number is 18 more than twice the number. What is the... (answered by algebrahouse.com,ewatrrr)

The product of a number and 6 is 5 more than twice the number. Find the... (answered by JessicaGill)

four more than the product of a number and 5 is 49. What is the... (answered by JBarnum)

The product of 3 more than a number and 11 is 165. What is the... (answered by rfer,stanbon)

Thomas is thinking of a number. He knows that the product of 5 less than twice his number (answered by JimboP1977)

Thomas is thinking of a number. He knows that the product of 5 less than twice his number (answered by CubeyThePenguin)

Twice a number increased by the product of 2 more than that number and 3 is equal to 21.... (answered by josgarithmetic,ikleyn)