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 call the cost of each of the first three tires "x".
Since Lydia bought three tires and got the fourth one for $10, the total cost of the four tires can be expressed as:
3x + $10
And we know that the total price for all the tires was $266.50. So we can set up the following equation:
3x + $10 = $266.50
To solve for x, subtract $10 from both sides:
3x = $266.50 - $10
3x = $256.50
Now, we divide both sides by 3 to get the value of x:
x = $256.50 / 3
x ≈ $85.50
So, the cost of each of the first three tires was approximately $85.50.