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?
2 answers:
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.
in July 15 the two stores have sale on the same date
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