a sports teacher has to spend RS1300 when he purchases 10 footballs and 20 hockey sticks from a shop. however if he purchases 15 footballs and 15 hockey sticks the amount spent is rs 1350. find the cost per football and hoockey stick

Let Rs x be the cost per football and Rs y be the cost per hockey.When the teacher purchases 10 footballs and 20 hockey sticks for Rs 1300. We can write10x+20y=1300                                       ........1When the teacher purchases 15 footballs and 15 hockey sticks for Rs 1350.We can write15x+15y=1350x+y=135015                      dividing both sides by 15x+y=90                              ...........2substituting,  y=90-x   from equation 2 into the equation 1, we get10x+2090-x=130010x+1800-20x=1300-10x+1800=1300-10x=1300-1800                                 Subtracting 1800 from both sides-10x=-500 x=-500-10                                               Dividing both sides by -10x=50.Putting x=50 in the equation 2, we gety=90-x=90-50=40.Hence, the cost per football is Rs 50  and  the cost per hockey stick is Rs 40.

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plz solve it by substitution method
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no links plzz
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