Juanita runs every third day and swims every seventh day. if juanita runs and swims today, in how many days will she run and swim again on the same day?

She will run and swim again on the same day after 21 days.

Explanation

Juanita runs every third day and swims every seventh day.

For finding the number of days she will run and swim again on the same day, we just need to find the LCM(Least common multiple) of 3 and 7.

As there is no common factor between 3 and 7, so for finding the LCM, we will just multiply 3 and 7.

So,

Thus, she will run and swim again on the same day after 21 days.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

need more information

step-by-step explanation: