Question

3. At a local restaurant, the health inspector visits every 7 days, and the fire inspector visits every 12 days. (a) Make a table for the next 4 visits for each inspector. (b) In how many days will both inspectors visit on the same day? Show your work.

Answer 1

Answer:

84th days they will meet.

Step-by-step explanation:

Consider the provided information.

The health inspector visits every 7 days, and the fire inspector visits every 12 days.

Part (A) Make a table for the next 4 visits for each inspector.

The required table is shown below:

Health inspector: 7, 14, 21, 28

Fire inspector:    12, 24, 36, 48

Part (B) In how many days will both inspectors visit on the same day?

In order to find the solution of this problem we need to find the LCM of the both number as shown:

7= 1×7

12=2×2×3

Now the LCM of the numbers are: 2×2×3×7=84

Hence, on 84th days they will meet.

Answer 2

Health inspector - every 7 days.
fire inspector - every 12 days.

a) health inspector fire inspector.
day 7.                        day 12.   
day 14.                      day 24.
day 21.                      day 36.
day 28.                     day 48.
day 35.                     day 60.

b) 12 x 7 = 84.

it will be the same on day 84