A box contains a collection of triangular and square tiles. There are 25 tiles in the box, containing 84 edges total. How many s quare tiles are there in the box?
1 answer:
There are 25 tiles total - triangles or squares - 84 edges triangle (<em>t</em>) = 3 sides square (<em>s</em>) = 4 sides <em>t</em>+<em>s</em>= total tiles <em><u>t</u></em><u>+</u><em><u>s</u></em><u> = 25 </u>← solve 3<em>t</em> + 4<em>s</em> = total sides <u>3</u><em><u>t </u></em><u>+ 4</u><em><u>s</u></em><u> = 84</u> ← solve <em> </em><em>t </em>= 16 <em>s </em> = 9 Check 16 + 9 = 25 3(16) + 4(9) = 84 48 + 36 = 84 <u>There are 9 square tiles in the box </u>
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