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# help

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A shopper purchased 5 T-Shirts and 3 pairs pants for \$105. The next day, he purchased 4 T-shirts and 2 pair of pants for \$80. How much does each T-shirt and each pair of pants cost?

Feb 24, 2020

#1
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well 1 top and 1 pair of pants is £25 together and so using the trial and improvement method, adding the fact that 5t and 3p is £105 but including 4t and 2p is £80. Sooner or later u will get it

Feb 24, 2020
#2
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Let the cost of one shirt =  S

Let the cost of a pair of pants   =  P

So....we have this system

5S  + 3P  =  105     (1)

4S  + 2P =   80       divide this equation through  by  2 →   2S  + P   = 40  rearrange as  P =  40  - 2S  (2)

Sub (2) into (1)   for  P

5S  +  3 (40  - 2S)  =   105            simplify

5S  +  120  -  6S  =  105

-1S  + 120 =  105              subtract 120 from  both sides

-1S =  -15     divide both sides  by  -1

S  = 15      [ 1 shirt costs \$15   ]

And using (2)   P   =  40  - 2(15)  =  40  - 30    = 10    [ the pants  cost \$10 ]

Feb 24, 2020