SOLUTION: a coin collection contains nickels dimes and quarters. there are twice as many dimes as quarters and seven more nickels than dimes. the toal value is $3.10. how many quarters are i
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Question 49433: a coin collection contains nickels dimes and quarters. there are twice as many dimes as quarters and seven more nickels than dimes. the toal value is $3.10. how many quarters are i nthe collection.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a coin collection contains nickels dimes and quarters. there are twice as many dimes as quarters and seven more nickels than dimes. the toal value is $3.10. how many quarters are i nthe collection.
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Let number of quarters be "x"; Value of those quarters is 25x cents
Number of dimes is "2x" ; Value of those dimes is 10(2x)=20x cents
Number of nickels is "2x+7" ; Value of those nickels is 5(2x+7)= 10x+35 cents
EQUATION:
value + value = value
25x + 20x + 10x+35 = 310 cents
55x+35=310
55x=275
x=5 (This is number of quarters)
2x=10 (This is number of dimes)
2x+7=17 (This is number of nickels)
Cheers,
Stan H.
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