Question

When ringing up a customer, a cashier needs 7 seconds to process payment as well as 1.5 seconds to scan each item being purchased. If it takes 28 second s to ring up a customer ,how many items are being purchased?

Answer 1

14 items

Explanation:

What we know:

- it takes 7 seconds to process the payment

- for every item, it takes 1.5 seconds to scan

- in total, it took 28 seconds to ring up the customer

With these pieces of information, we can construct the following equation:

`28=1.5x+7` when
`x` is equal to the number of items there is

Subtract both sides by 7

`28-7=1.5x+7-7\\21=1.5x`

Divide both sides by 1.5

`(21)/(1.5) =(1.5x)/(1.5) \\14=x`

Therefore, 14 items were being purchased.

I hope this helps!