SOLUTION: Hi helen had to arrange some chairs in a fixed number of rows.she estimated that there were more than30 but less than 70 chairs.if she put 8 chairs in one row she would be 7 chair

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Question 1096780: Hi
helen had to arrange some chairs in a fixed number of rows.she estimated that there were more than30 but less than 70 chairs.if she put 8 chairs in one row she would be 7 chairs short. If she put 7 chairs in one row she would be 2 chairs short.how many chairs were there.
Thanks
Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
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In the mathematical language, they want you find the number between 31 and 69 (inclusively) that 


     - gives the remainder 1 when divided by 8     ("if she put 8 chairs in one row she would be 7 chairs short")

     - gives the remainder 5 when divided by 7    ("If she put 7 chairs in one row she would be 2 chairs short.")



The numbers satisfying the first condition are  33, 41, 49, 57, 65.

Of them, the only number satisfying the second condition is 33. 


Answer.  33 chairs.