Answer:
5 kittens and 6 children
Step-by-step explanation:
We can use variables to find the number of kittens (K) and children (C)
each kitten will have 4 legs and each child will have 2.
You can make two equations like so:
4k+2c=32
k+c=11
You then can use the substitution method to solve for both variables:
k+c=11
Subtract k from each side:
c=11-k
Substitute this into the other equation:
4k+2(−k+11)=32
Solve for k:
4k-2k+22=32
2k=10
k=5
Then use this in one of the equations to find the other variable:
k+c=11
5+c=11
Rewrite this to make it easier:
11-5=c
c=6
k=5 and c=6
you can check this by substituting each of these value to make sure the equations are true:
k+c=11
5+6=11
11=11
4k+2c=32
4(5)+2(6)=32
20+12=32
32=32
They both check right, so
c=6 and k=5
are your answers.
There are 5 kittens and 6 children in the backyard
There is your answer
Hope this helps!
