Question

Geometry Test Review Proof (see picture)

Answer 1

6) A cottage industry produce a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each Article (in rupees) was 3 more than twice the number of articles produced on that day was Rs.90, find the number of articles produced and the cost of each Article.

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Let the number of articles produced be x.

therefore, the cost of production of each Article = Rs(2x + 3)

Given that,

total cost production of is Rs.90

=> X(2x + 3) = 90

=> 2x² + 3x - 90 = 0

=> 2x² + 15x - 12x - 90 = 0

=> x(2x + 15) -6(2x + 15) = 0

=> (2x + 15) (x-6) = 0

[As the number of articles produced can only be a positive integer therefore, x can only be 6]

Hence number of articles produced = 6

cost of each Article = 2×6+3 = Rs.15

Answer 2

Step-by-step explanation:

Geometry Test Review Proof (see picture)