SOLUTION: Emily counts the triangles and parallelograms in an art piece and determines that there are altogether 42 triangles and parallelograms. If there are 150 total sides,how many triang

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Question 1012415: Emily counts the triangles and parallelograms in an art piece and determines that there are altogether 42 triangles and parallelograms. If there are 150 total sides,how many triangles and parallelograms are there?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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T=number of triangles; P=number of parallelograms
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T+P=42
T=42-P
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3T+4P=150
3(42-P)+4P=150
126-3P+4P=150
126+P=150
P=24
ANSWER 1: There are 24 parallelograms.
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T=42-P=42-24=18
ANSWER 2: There are 18 triangles.
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CHECK:
3T+4P=150
3(18)+4(24)=150
54+96=150
150=150
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