Question

A bookstore has a sale on days of the month that are multiples of 5 (such as June 5, June 10...). A shoe store has a sale every 6 days. The shoe store has a sale on July 3. How many times in July do the two stores have sales on the same date?

Answer 1

in July 15 the two stores have sale on the same date

Answer 2

Answer:

Once!

Step-by-step explanation:

The bookstore had a sale on any day with a factor of 5.

For the shoe store starting day 3, create a arithmetic sequence up to day 31, with a common difference of 6:

3, 9, 15, 21, 27, 30

Only 15 has a factor of 5! Therefore the stores only share one sale day on the 15th of July.