cost 10 pens and 5 pencils is100.then find the cost of 8 pens and 4 pencils

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To find the cost of 8 pens and 4 pencils, let's first determine the cost of 1 pen and 1 pencil by dividing the total cost by the number of pens and pencils given.

Given:

Cost of 10 pens and 5 pencils = $100

Step 1: Determine the cost of 1 pen and 1 pencil:

- Cost of 10 pens = $100
Cost of 1 pen = $100 / 10 = $10

- Cost of 5 pencils = $100
Cost of 1 pencil = $100 / 5 = $20

Step 2: Find the cost of 8 pens and 4 pencils using the cost of 1 pen and 1 pencil:

- Cost of 1 pen = $10
Cost of 8 pens = $10 x 8 = $80

- Cost of 1 pencil = $20
Cost of 4 pencils = $20 x 4 = $80

Therefore, the cost of 8 pens and 4 pencils is $80 + $80 = $160.