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Ethan went to buy furniture with his parents for their new house. A table and 5 chairs cost $558. The table cost 4 times as much as a chair. Find the cost of the table.

Question

Ethan went to buy furniture with his parents for their new house. A table and 5 chairs cost $558. The table cost 4 times as much as a chair. Find the cost of the table.

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Solution

Let's denote the cost of a chair as x. According to the problem, the table costs 4 times as much as a chair, so the cost of the table is 4x.

The total cost of the table and 5 chairs is $558. So, we can write the equation:

4x (cost of the table) + 5x (cost of 5 chairs) = $558

This simplifies to:

9x = $558

To find the cost of one chair (x), we divide both sides of the equation by 9:

x = 558/9x=558 / 9 x = 62

So, a chair costs $62.

Since the table costs 4 times as much as a chair, the cost of the table is:

4x = 4 * 62=62 = 248

So, the table costs $248.

This problem has been solved

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