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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