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sabremc2crissa
sabremc2crissa sabremc2crissa
  • 28-01-2016
  • Mathematics
Answered

Jeff was counting the squirrels and birds in the park. He counted 16 heads and 44 legs. How many birds did Jeff count?

A4
B8
C10
D11

Verified Answer :

apologiabiology
apologiabiology apologiabiology
  • 29-01-2016

so 1 head per squirel and 1 head per bird
4 legs per squirel and 2 legs per bird
s=number of squirels
b=birds
the equatinos should be
1b+1s=number of heads=16
and
2b+4s=number of legs=44
(note 2b=2 times b)
so we aolve

b+s=16 and 2b+4s=44
simplify the second equaiton by divideinb by 2
2b+4s=44
divide 2
b+2s=22

b+s=16
and
b+2s=22
we can actually add the two equations together with the first one made negative
-b-s=-16
b+2s=22+
0b+1s=6
s=6
subsitute
b+s=16
b+6=16
subtract 6 from both sides
b=10


10 birds
answer is c

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