Question

An experienced cashier at a grocery store takes 2 seconds to scan each item and 40 seconds to process the customer's payment. 1) If the total time, y, to process a customer's purchase is two minutes and 6 seconds, how many items, x, are being purchased? A) 27 items B) 31 items C) 40 items D) 43 items 2) Anna bought 31 items at the grocery store. There was a glitch in the computer system that caused the processing of the payment to take longer than usual. If the total time for Anna's transaction took 2 minutes, how much time did the processing of the payment (p) take? A) 60 seconds B) 58 seconds C) 50 seconds D) 45 seconds

Answer 1

The answers are 1) D. 43 items and 2) B. 58 seconds.

Step-by-step explanation:

Step 1; An experienced cashier takes a time of 2 seconds per item and another 40 seconds for processing the customer's payment. So if it took 2 minutes 6 seconds which equals ( 2× 60 ) + 6 = 126 seconds for a customer. Out of these 126 seconds, the last 40 seconds were to process the customer's payment so 126 seconds - 40 seconds = 86 seconds. So it took 86 seconds to scan the items and as it takes 2 seconds per item we divide 86 by 2 to get the number of items. So 86 / 2 = 43 items which is option D.

Step 2; Anna brought 31 items and due to some glitch, the total time took 2 minutes. So for 31 items, it took the cashier 31 × 2 = 62 seconds, 1 minute 2 seconds. So out of the 2 minutes, 1 minute 2 seconds were used to scan the items. So the remaining time was 2 minutes (120 seconds) - 1 minute 2 seconds (62 seconds) = 58 seconds which was the processing time. So option B is the answer.