SOLUTION: At a bridal reception, there are tables that seat 8 people and tables that seat 10 people. If the bride uses the tables that seat 8 people she will have exactly 2 people left over

Question 470881: At a bridal reception, there are tables that seat 8 people and tables that seat 10 people. If the bride uses the tables that seat 8 people she will have exactly 2 people left over. If she uses the tables that seat 10 people she will have exactly 4 people left over. She has between 200 and 250 guests. How many guests does the bride have.
Can you show me how to solve this and what formula to use.
Thx much
karen
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
At a bridal reception, there are tables that seat 8 people and tables that seat 10 people.
If the bride uses the tables that seat 8 people she will have exactly 2 people left over.
If she uses the tables that seat 10 people she will have exactly 4 people left over.
She has between 200 and 250 guests. How many guests does the bride have.
:
Factors of 10 + 4, between 200 and 250: 204, 214, 224, 234, 244
Factors of 8 + 2, between 200 and 250: 202, 210, 218, 226, 234, 242
:
We can see the only common value is 324, therefore: 234 guests at the reception
:
I could not come up with a formula with this, if I do I will edit this, or you can resubmit it for one of the other tutors to give it a try.
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