Mountain Dew is a carbonated soft drink that was invented in 1940. A popular joke on the name is:
 
Girl: “Can you use ‘Mountain Dew’ in a sentence?”
Guy: “Yes, can I ‘mount-ain dew’ you?”
 
“Mount-And Do” was cited in the newsgroup alt.music.weezer om September 16, 2000. “Mount and Do Me” was entered in the Urban Dictionary on November 8, 2008. “Use it in a sentence: Hey baby, I’d like to mountain dew you” was cited on Twitter on July 3, 2013. 
 
“Mount and Do Me” has been printed on many T-shirts.
   
     
Wikipedia: Mountain Dew
Mountain Dew (currently stylized as Mtn Dew in the United States) is a carbonated soft drink brand produced and owned by PepsiCo. The original formula was invented in 1940 by Tennessee beverage bottlers Moses and Ally Hartman. A revised formula was created by Bill Bridgforth in 1958. The rights to this formula were obtained by the Tip Corporation of Marion, Virginia. William H. “Bill” Jones of the Tip corporation further refined the formula, launching that version of Mountain Dew in 1961. On August 27, 1964, the Mountain Dew brand and production rights were acquired from Tip by the Pepsi-Cola company, at which point distribution expanded more widely across the United States and Canada.
   
Google Groups: alt.music.weezer
B-sides
aj the janitor
9/16/00
(...)
“Mount-And Do”
 
Google Groups: alt.lifestyle.all-faiths
Mount And Do. Pepsi’s proposed ad campaign
Dennis
1/11/02
Pfizer Corp. (NYSE PFE) is announcing today that VIAGRA (mykoxaphalen) will soon be available in liquid form under the trade name of Mydixaflopin. Mydixaflopin will be marketed by Pepsi Cola (Pepsi Bottling Group NYSE PBG) as a power beverage suitable for use as-is, or as a mixer, under the name Mount And Do. Pepsi’s proposed ad campaign suggests: “It will now be possible for a man to literally pour himself a stiff one.”
 
Google Books
Free the Willy: Adult Humor
By Duncan Dodge
Bloomington, IN: AuthorHouse
2004
Pg. 32:
Then, the second lady says, “I’m gonna name my Leroy Mountain Dew because he can mount and do me any day of the week.”
 
Twitter
steve lopez
‏@stevelopez
I just saw this dude with a shirt that looked lie a like a mountain dew shirt, it said “mount and do me.” such class…
5:16 PM - 5 Sep 2008
 
Urban Dictionary
Mount and Do Me
A new phrase created by the store, Spencer’s. It refers to sex on the vaginal or anal variety. The irony is found in the fact of the soda Mountain Dew.
Hey baby, won’t you “Mount and Do Me?”
#sex #mountain #dew #mountain dew #anal #vaginal #spencer #soda
by simplysickforever November 06, 2008
 
Google Books
Double Dealing 2
By Chuck Closson
Xlibris Corporation (Xlibris.com)
2012
Pg. ?:
591. Mountain Dew mixed with 100 mg. of Viagra will be Mount and Do.
 
Twitter
Justin St. Germain
‏@jstgermain
Word of the day: Mountain Dew
Use it in a sentence: Hey baby, I’d like to mountain dew you.
3:10 PM - 3 Jul 2013
 
Twitter
Novelty
‏@FetishSecretz01
Smile of the Day: :D
“Girl: “Can you use ‘Mountain Dew’ in a sentence?”
Guy: “Yes, can I ‘mount-ain dew’ you?”
10:07 AM - 18 Jul 2013
 
Twitter
Gerardo Castro
‏@jerry_castro313
girl: can you use mountain dew in a sentence?
guy: “yes, can i mount-ain dew’ you?”
1:27 PM - 10 Mar 2014
 
YouTube
Jokes - Girl: “Can you use ‘Mountain Dew’ in a sentence?” Guy: “Yes, can I ‘mount-ain dew’ you?”
jokesus
Published on Oct 5, 2015
Joke :
Girl: “Can you use ‘Mountain Dew’ in a sentence?”
Guy: “Yes, can I ‘mount-ain dew’ you?”