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

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.