Pigs have 4 legs and chicken have 2 legs. If there are 24 heads and 80 legs, how many pigs and chickens are there?
1 answer:
Answer:
<h2><u><em>
P = 16</em></u></h2><h2><u><em>
C = 24-P = 8</em></u></h2>
Step-by-step explanation:
Heads: P + C = 24
C = 24 - P
Legs: 4P + 2C = 80
Substitute, from heads: 4P + 2 (24 - P) = 80
4P + 48 - 2P = 80
2P = 32
<u><em>P = 16</em></u>
<u><em></em></u>
<u><em>C = 24-P = 8</em></u>
====================
Check:
P + C = 16 + 8 = 24
4P + 2C = 4(16) + 2(8) = 64 + 16 = 80
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