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Aleks04 [339]
3 years ago
14

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?
Mathematics
1 answer:
Alexandra [31]3 years ago
4 0
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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percent means out of 100 so 1% = 1/100 and 40%=40/100 or 1/25
so for percent of a number, 'of' means multiply so 40% of 500= 40/100 times 500 or 20000/100 or 200



if you multiply a fraction by its recipricol (the number fliped upside down) the you will get 1 so if you multiply 1/2 by 2/1 then you will get 1

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if you represent 45 out of something as 45/x then you multiply it by the reciprocal of the fraction that is supposed to be equal (1/2 =2/4) then you will get 1
so 45/x times reciprocal of 100/25 then you will get 1/1 or 4500/25x
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so 45 is 25% of 180


The following is extra
   as stated above 'of' can be taken as multiply so
   45 is 25% of 180 can be rewriten as
   45=25/100 times 180
   but we don't know that 180 is the answer so we replace it with x then            solve for x
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