SSAT Math Question 328: Answer and Explanation

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Question: 328

7. A coffee shop has an average of 200 customers per day. To increase sales, the owner plans to reduce the price of a large cup of coffee from $2.00 to $1.00 after 10 A.M. each day. If 50 people pay $2.00, how many people must pay $1.00 if daily sales are to remain the same as before the $1.00 reduction plan?

  • A. 250
  • B. 300
  • C. 350
  • D. 400

Correct Answer: B

Explanation:

The answer is B

Begin by determining the total sales before the price reduction by multiplying the average number of customers by the cost: 200 × $2 = $400. Next, determine the total sales received under the old price (before 10 A.M.) by multiplying the number of customers by the cost: 50 × $2 = $100. Now, subtract $100 from $400 to determine the amount of sales needed to maintain the original amount of $400: $300. Finally, divide $300 by the new price ($1) to determine the number of customers needed after 10 A.M.: 300.

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