An experienced cashier at a grocery store takes 2 seconds to scan each item and 40 seconds to process the customer's payment. 1)

Question

3 years ago

5

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

Mathematics

1 answer:

Liono4ka [1.6K] · Answer 1 · 2022-07-01T05:29:06+03:00

The right answer is Option D: 43 items

Step-by-step explanation:

Time taken to scan each item = 2 seconds

Time taken to process the payment = 40 seconds

Let,

x be the number of items bought

y be the total time

y = 2x+40 Eqn 1

Now

Total time = 2 minutes and 6 seconds

1 minute = 60 seconds

2 minutes = 2*60 = 120 seconds

Total time = 120+6 = 126 seconds

Putting y=126 in Eqn 1

$126=2x+40\\126-40=2x\\86=2x\\2x=86$

Dividing both sides by 2

$\frac{2x}{2}=\frac{86}{2}\\x=43$

43 items are being purchased.

The right answer is Option D: 43 items

Keywords: addition, division

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