SOLUTION: A box of coins contains a total of $26.00 in nickels, dimes, and quarters. If there is the same number of nickels as dimes, but twice as many quarters as nickels, how many dimes ar
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Question 246300: A box of coins contains a total of $26.00 in nickels, dimes, and quarters. If there is the same number of nickels as dimes, but twice as many quarters as nickels, how many dimes are in the box?
(A)26 (B) 30 (C) 34 (D) 40 (E) 50
You can put this solution on YOUR website! 5n+10d+25q=2600
n=d
q=2n
substitute
5n+10(n)+25(2n)=2600
combine
5n+10n+50n=2600
65n=2600
divide by 65
n=40
there are 40 nickels and 40 dimes
there are 80 quarters
the problem only asks about dimes
so letter D 40 is correct
check
5(40)+10(40)+25(80)=2600
200+400+2000=2600
2600=2600
ok
