For my mom's new exercise program, every two days she jogs two miles and every 5 days lifts

weights. On what day will she jog and lift weights on the same day?

She will jog and lift weights on the same day in 10 days

Step-by-step explanation:

To find when two events will happen on the same day, we find the least common multiple(that is not 0) of their frequencies.

In this question:

Every two days she jogs

Every 5 days she lifts.

Multiples of 2: {0, 2, 4, 6, 8, 10, 12, ...}

Multipled of 5: {0, 5, 10, 15, ...}

The least common multiple is 10, so:

She will jog and lift weights on the same day in 10 days