Answer:
Step-by-step explanation:
2 tables and 3 chairs is $705
Let t stand for table and c stand for chair
3c + 2t = 705
We are told that the table costs $40 more than the chair, so t = c + 40
Now we can insert this into the equation
3c + 2(c + 40) = 705
The next step is to distribute the 2
3c + 2c + 80 = 705
Then combine like terms
5c + 80 = 705
To get the variable by itself, you have to subtract the 80 from both sides.
5c = 705 - 80
5c = 625
This means that 5 chairs costs $625.
Divided both sides by 5 to isolate the variable
c = 625/5
c = 125
Great, now you know the cost of one chair, $125!
The question is asking how much a table costs, and we know that a table costs $40 more than a chair.
A table costs $125 + $40
A table costs $165
Hope this helps! =)
