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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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      Log On


   



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) About Me  (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.