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.
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 = 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 * 300
So, the table costs $300.
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