Question #aeca4

1 Answer
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources


Write a one sentence answer...



Explain in detail...


I want someone to double check my answer

Describe your changes (optional) 200


This answer has been featured!

Featured answers represent the very best answers the Socratic community can create.

Learn more about featured answers

Nimo N. Share
Jan 30, 2018


See below.


The sum of the quotient of a number and 3 and 8 is 16."

One needs to translate from English to mathematics symbols. Sometimes, the words can be translated directly, piece by piece, from left-to-right, then the parts can be put together.

This one is one of those "left-to-right." translations:
"The sum of" involves adding two things, so we start with:
# ("the first thing") + ("the second thing") #

"is" translates to "=". So,
# color(blue)( ("the first thing") + ("the second thing") = 16 ) #.

Using "x" for everything can make the eyes sore, so here we use "N" for the unknown Number.

the first thing:
"the quotient of a number and 3". Since "quotient of" means divide the first thing mentioned (an unknown number, N) by the second thing mentioned (3).
# N -: 3 = N/3 #

We can fill-in part of the expression:
# color(blue)( ( N/3 ) + ("the second thing") = 16 ) #

the second thing:
The second thing being added is 8.

Now, finish the translation with a full equation:
# color(red)( N/3 + (8) = 16 ) #

To solve the math problem, subtract 8 from both sides of the equation, then multiply both sides of the result by 3.

You should get: # color(red)( N = 24 #.

Was this helpful? Let the contributor know!
Impact of this question
15 views around the world
You can reuse this answer
Creative Commons License