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Jacob went to buy furniture with his parents for their new house. A table and 3 chairs cost $525. The table cost 4 times as much as a chair. Find the cost of the table.

Question

Jacob went to buy furniture with his parents for their new house. A table and 3 chairs cost $525. 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 for 1 table and 3 chairs is $525. So, we can set up the following equation:

4x (cost of the table) + 3x (cost of the three chairs) = $525

Solving this equation will give us the cost of one chair (x), and then we can find the cost of the table (4x).

Let's solve it:

7x = $525

To find the value of x, we divide both sides of the equation by 7:

x = 525/7x=525 / 7 x = 75

So, a chair costs $75.

Now, to find the cost of the table, we multiply the cost of one chair by 4:

Cost of the table = 4 * cost of a chair Cost of the table = 4 * 75Costofthetable=75 Cost of the table = 300

So, the table costs $300.

This problem has been solved

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