Final answer:
To find the cost of carpeting the dining room, set up an equation with the cost of installation and cost per square yard. Solve the equation to find the number of square yards used. The Chin family used 24 square yards of carpet.
Step-by-step explanation:
To find the cost of carpeting the dining room, we need to set up an equation. Let x be the number of square yards of carpet used. The cost can be calculated as follows:
Cost of carpet = cost of installation + cost per square yard * number of square yards
Given that the cost of installation is $249 and the total cost is $465, we can set up the equation:
249 + 9x = 465
To solve for x, we subtract 249 from both sides of the equation:
9x = 216
Dividing both sides by 9 gives us:
x = 24
Therefore, the Chin family used 24 square yards of carpet.
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