SOLUTION: I have to come up with two equations to solve this problem: The number of frogs is 6 more than ducks and the number of combined legs is 54. What are the number of frogs and ducks

Question 511964: I have to come up with two equations to solve this problem:
The number of frogs is 6 more than ducks and the number of combined legs is 54. What are the number of frogs and ducks?
I tried:
(4x+6)+2y=54
&
4x+2y=54
But these equations did not work, PLEASE help?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
f = number of frogs
4f = number of frogs' legs
d = number of ducks
2d = number of ducks' legs
.
f = d+6
.
4f + 2d = 54
.
substitute f=d+6
.
4(d+6) +2d =54
.
4d +24 +2d = 54
.
6d = 30
.
d = 5
.
f = d+6 = 5+6 = 11
.
Check to see how many legs you have:
4(11) = 44
2(5) = 10
44+10 = 54
OK.
.
Answer: There are 5 ducks and 11 frogs.
.
Done.
RELATED QUESTIONS
The number of rabbit is 6 more than the chickens and the number combined legs is 54. What (answered by josgarithmetic,MathTherapy)

The ratio of ducks and frogs is 37:39 respectively.The average number of ducks and frogs... (answered by josmiceli)

The ratio of ducks and frogs in a pond is 37:39.The average number of ducks and frogs in... (answered by sachi)

Hi My little cousin needs help with this homework problem, I tried helping her but I... (answered by checkley77)

How much pure water must be mixed with 6 pints of 60% developer to produce a mixture that (answered by richwmiller)

a second number is one more than the first number. The sum of twice the first number and... (answered by TimothyLamb)

can you please explain this problem to me. I more or less have and idea but I can't come (answered by AnlytcPhil)

The sums of the digits of a two digit number is 14. If 4 is added to the number, the... (answered by ankor@dixie-net.com,josmiceli)

This word problem is stumping me. I can't figure out how to write the equations needed... (answered by longjonsilver)