A travel agency takes people to visit a museum every 11 minutes and the zoo every 7 minutes. In 154 minutes, how many times will the two groups be together?

2 times

Step-by-step explanation:

A travel agency takes people to visit a museum every 11 minutes and the zoo every 7 minutes.

Step 1

We carry out the Least Common Multiple Method

Find and list multiples of each number of minutes until the first common multiple is found. This is the lowest common multiple.

Multiples of 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91

Multiples of 11:

11, 22, 33, 44, 55, 66, 77, 88, 99

Therefore,

LCM(7, 11) = 77

Hence, the group would meet again or be together with each other in 77 minutes

Step 2

In 154 minutes, how many times will the two groups be together?

This is calculated as:

154 minutes/77 minutes

= 2 times

d

step-by-step explanation:

d