SOLUTION: Regular marbles sell at 100 for $2.00. Large marbles (shooters) sell at 25 for $2.00. To the nearest whole marble, how many of each kind should be used to make a package of 100 mar

Question 103274: Regular marbles sell at 100 for $2.00. Large marbles (shooters) sell at 25 for $2.00. To the nearest whole marble, how many of each kind should be used to make a package of 100 marbles selling for $3?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Regular marbles sell at 100 for $2.00. Large marbles (shooters) sell at 25 for $2.00. To the nearest whole marble, how many of each kind should be used to make a package of 100 marbles selling for $3?
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Regular marbles cost $0.02 a piece.
Shooters cost $0.08 a piece.
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Let # of regular marbles be "x" ; value of these is 0.02x dollars
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# of shooters is "100-x" ; value of these is 0.08(100-x)= 8-0.08x dollars
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# in mixture is 100 ; value = $3
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EQUATION:
value + value = value
0.02x + 8-0.08x = 3
-0.06x = -5
x = 83 1/3 (number of regular marbles)
100-x = 16 2/3 ( number of shooters)
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Comment: The value of x and 100-x should turn out to be whole numbers.
Check your problem statement to see if you have the correct data.
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Cheers,
Stan H.

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