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enot [183]
4 years ago
10

A pair of pants cost 50% more than a tie. A shirt cost 25% more than the same tie. By what percentage is the cost of the pair of

pants greater than the cost of the shirt?
Mathematics
1 answer:
Lisa [10]4 years ago
8 0

<u>Answer</u>

20%


<u>Explanation</u>

let the cost of tie = x

Then cost of a pair of pants = (100+50)%x

                                               = 150%x

                                                 = 1.5x

The cost of shirt = (100+25)%x

                           = 125%x

                             = 1.25x

(1.5x - 1.25x)/1.25x × 100

0.25x/1.25x × 100

0.2 × 100 = 20%


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Step  1  :

Equation at the end of step  1  :

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Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  3x2 - 3x + 9  =   3 • (x2 - x + 3)

Trying to factor by splitting the middle term

3.2     Factoring  x2 - x + 3

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  +3

Step-1 : Multiply the coefficient of the first term by the constant   1 • 3 = 3

Step-2 : Find two factors of  3  whose sum equals the coefficient of the middle term, which is   -1 .

     -3    +    -1    =    -4

     -1    +    -3    =    -4

     1    +    3    =    4

     3    +    1    =    4

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 3 • (x2 - x + 3)

Processing ends successfully

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