Lydia needs to buy new tires for her car. The tire shop was running a holiday deal that allowed customers to buy three tires and get the fourth tire for $10. If the total price for all her tires was $266.50, what was the cost of each of the first three tires?
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Let's assume the cost of each of the first three tires is x dollars.
Since Lydia needs to buy three tires, the total cost for those three tires would be 3x dollars.
According to the holiday deal, Lydia can buy the fourth tire for $10.
So, the total cost for all four tires, including the discount, would be 3x + $10.
According to the given information, the total price for all the tires is $266.50.
Therefore, we have the equation: 3x + $10 = $266.50.
Now, we can solve the equation to find the value of x.
Subtracting $10 from both sides, 3x = $256.50.
Dividing both sides by 3, x = $85.50.
So, the cost of each of the first three tires is $85.50.