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A teacher has 60 pentagons and octagons totaling 354 sides. How many of each pentagon and octagons does she have?
Wiki User
∙ 14y ago
p + O = 60 . . . so . . . p = 60 - O
5p + 8O = 354
Substitute [ p = 60 - O ]:
5(60-O) + 8O = 354
300 - 5O + 8O = 354
300 + 3O = 354
3O = 54
O = 18
p = 60 - O = 42
Pentagons: 42
Octagons: 18
===========================
Check:
p + O = 42 + 18 = 60
Sides on pentagons = 5 x 42 = 210
Sides on octagons = 8 x 18 = 144
Sum of sides = 210 + 144 = 354 yay!
Wiki User
∙ 14y ago
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