In August, a car dealer completed 15 more than 3 times the number of sales the car dealer completed in

Question

In August, a car dealer completed 15 more than 3 times the number of sales the car dealer completed in September. In August and September, the car dealer completed 363 sales. How many sales did the car dealer complete in September?

Accepted Answer

The correct answer is 87 . It&rsquo;s given that in August, the car dealer completed 15 more than 3 times the number of sales the car dealer completed in September. Let x represent the number of sales the car dealer completed in September. It follows that 3 x + 15 represents the number of sales the car dealer completed in August. It&rsquo;s also given that in August and September, the car dealer completed 363 sales. It follows that x + 3 x + 15 = 363 , or 4 x + 15 = 363 . Subtracting 15 from each side of this equation yields 4 x = 348 . Dividing each side of this equation by 4 yields x = 87 . Therefore, the car dealer completed 87 sales in September.

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