+0  
 
0
951
1
avatar
The zookeeper has a group of crocodiles and emus. ther are a total of 80 legs ang 32 heads. how many emus are there?
 Apr 19, 2013
 #1
avatar+3146 
0
Myapinky654:

The zookeeper has a group of crocodiles and emus. ther are a total of 80 legs ang 32 heads. how many emus are there?



equations:

Myapinky654:

ther are a total of 32 heads


croc + emu = 32

Myapinky654:

ther are a total of 80 legs


croc*4+emu*2 =80

[input]solve( croc + emu = 32, croc*4+emu*2 =80 )[/input]

solve first equation for variable "croc":
croc + emu = 32 <=> croc = 32-emu

insert first equation solved for croc into second equation:
croc*4+emu*2 =80 <=> ( 32-emu)*4+emu*2=80 <=> 32*4-emu*4+emu*2=80 <=> 128+emu*(-4+2)=80 <=> emu*(-2)=80-128 <=> emu*2 = 48 <=> emu = 48/2 <=> emu = 24
 Apr 19, 2013

2 Online Users