Jeff was counting the squirrels and birds in the park. He counted 16 heads and 44 legs. How many birds did Jeff count? Please explain how to solve this also.

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(1) Answers

JamieJamieJamie

Given:
squirrels and birds
squirrels have one head and 4 legs
birds have one head and 2 legs
heads: s + b = 16
legs : 4s + 2b = 44
s + b = 16 ⇒ s = 16 - b
4s + 2b = 44
Substitute s by its value.
4(16-b) + 2b = 44
64 - 4b + 2b = 44
-2b = 44 - 64
-2b = -20
b = -20/-2
b = 10
s = 16 - b
s = 16 - 10
s = 6
There are 6 squirrels and 10 birds.
s + b = 16 ⇒ 6 + 10 = 16 ⇒ 16 = 16
4s + 2b = 44 ⇒ 4(6) + 2(10) = 44 ⇒ 24 + 20 = 44 ⇒ 44 = 44