SOLUTION: Please help me solve this word problem: Dear Action Reporter: If I give each of my children 11 cents, I'll have 9 cents left. If I had 47 cents more, I could give 15 cents to

Question 670548: Please help me solve this word problem:
Dear Action Reporter:
If I give each of my children 11 cents, I'll have 9 cents left. If I had 47 cents more, I could give 15 cents to each. I can't count my money or my kids, and my pocket calculator is on the fritz. I don't know what to do.

Old Woman in Shoe.
How much money and how many children has the Old Woman?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of children she has
Let = the amount of money she has
--------------------------------
In the 1st case, she gives her children:
(1)
In the 2nd case, she gives them each:
(2)
------------------------
(2)
(2)
substitute (1) into (2)
(2)
(2)
(2)
She has 14 children
and
(1)
(1)
(1)
She has $1.63
check answer:

--------------
(2)
(2)
(2)
OK

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