Question 34459
Now Data:
Let number of dimes be "x" and number of nickels be "y".
Value of dimes is 10x cents
Value of nickels is 5y cents
EQUATION: 10x+5y=565
Later Data:
Number of dimes is "2x" and number of nickels is "y+8".
Value of dimes is 10(2x)=20x cents
Value of nickels is 5(y+8)=5y+40 cents
EQUATION: 20x+5y+40=1045
System of equations is:
#1  10x+5y=565
#2  20x+5y=1005
Subtract #1 from #2 to get 10x=440
Then x=44 (original number of dimes)
Cheers,
Stan H.