The cost of 4 tables and 15 chairs = $904.60, 2 tables and 4 chairs = $549.90, How much is 1 chair and 1 table?

Question

Trying to help a friends child with his math and this one stumps me. I'd love to know how to reach the results so I can help with other problems.

Answer 1

4T + 15C = 904.6

2T+4C = 549.9 multiply by 2 to get

4T + 8C = 1099.8 then subtract this from the 1st equation to get

7C = -195.2

C=-27.89, they are giving the chairs away for free plus giving you $27.89 cash with each chair you haul away

T= 274.95 -2(-27.89) = 274.95 -+55.78 = $330.73 per table

Tables are very expensive at $330.73, while chairs are cheaper than free, you get $27.89 cash with each one you take away

Maybe it's a buy a table and get free chairs with them, some package deal

Or else there may be a typo in the problem or it was miscopied.

But if it's accurately intended to be this way, and the problem is what is the cost of 1 table and 1 chair

If you "bought" one of each in a package deal then its net cost is 330.73-27.89 = $302.84

BUT my guess would be that odds are there's a typo in the problem somewhere