The cost of 7 chairs and 2 tables is equal.If the cost of 6 chairs and 5 tables is 10575, find the cost of 12 chairs.
1 answer:
Answer:
5400
Step-by-step explanation:
Let x represent the cost of a chair and y represent the cost of a table. We can use this to set up a system of equations:
7x=2y
6x+5y=10575
We can solve this system using substitution.
Start by rewriting the first equation in terms of x.

Substitute this into the second equation:

Multiply both sides by 7

Divide both sides by 47

This means...

Divide both sides by 7

One chair costs 450. Now, multiply this number by 12 to find the cost of 12 chairs.

12 chairs cost 5400.
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