Question

5 pencil and 7 pens together cost 50 ,where 7 pencils and 5 pens together cost 46 . find the cost of one pencil and that of one pen

Answer 1

Let The cost of 1 pencil be X

And cost of 1 pens be Y

According to question

The cost of 5 pencil and 7 pens is 50

So, the equation is.

5x+7y=50....(1)


AGAIN cost of 7 pencil and 5pens is 46

so,7x+5y=46..(2)
BY ELIMINATION method

Multiply equal (1) with7


7(5x+7y)=7×50

35x+49y=350..(3)

================
Multiply equation (2)with 5

5(7x+5y)=5×46

35x+25y=230..(4)

Substrating eq (3)and (4)

we got

35x+49y-(35x+25y)=350-230

35x+49y-35x-25y=120

49y-25y=120


24y=120

y=120/24

y=5


AGAIN÷


replace this in equation (1)

5x+7y=50

5x+7×5=50

5x+35=50

5x=50-35

5x=15

x=15/5

x=3


So the cost of 1 pencil is [tez]\red{\huge{3}}[/tex]


And cost of 1 pens is $\red{\huge{5}}$

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