Mason went to buy furniture with his parents for their new house. A table and 4 chairs cost $384. The table cost 2 times as much as a chair. Find the cost of the table.
Question
Mason went to buy furniture with his parents for their new house. A table and 4 chairs cost $384. The table cost 2 times as much as a chair. Find the cost of the table.
Solution
Let's denote the cost of a chair as x.
According to the problem, the table costs 2 times as much as a chair, so the cost of the table is 2x.
The total cost for 1 table and 4 chairs is $384. So, we can set up the equation:
2x (table) + 4x (chairs) = $384
This simplifies to 6x = $384
To find the cost of one chair (x), we divide $384 by 6:
x = 64
So, a chair costs $64.
Since the table costs 2 times as much as a chair, the cost of the table is:
2x = 2 * 128
So, the table costs $128.
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