Question

2 tables and 3 chairs together cost $2000 whereas 3 table and 2 chairs together cost $2500. Find the total cost of 1 table and 5 chairs.

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Answer 1

Answer:

hope it will help

Step-by-step explanation:

Let the cost of a table be Rs x and that of a chair be Rs y. Then,

2x+3y=2000

and, 3x+2y=2500

This system of equations may be written as

2x+3y−2000=0

3x+2y−2500=0

By using cross-multiplication, we get

3×−2500−2×−2000

x

=

2×−2500−3×−2000

−y

=

2×2−3×3

1

⇒

−7500+4000

x

=

−5000+6000

−y

=

4−9

1

⇒

−3500

x

=

−1000

y

=

−5

1

⇒x=

−5

−3500

=700 and y=

−5

−1000

=200

∴ Cost of a table =Rs. 700 and, cost of a chair =Rs. 200

Hence, cost of one table and 5 chairs =Rs. (x+5y)=Rs. 1700.