SOLUTION: A cash register has Twice as many nickels as quarters ans 3 more dimes then nickels...if the coins are worth more then 5 dollars, atleast how many dimes are in the register

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Question 984888: A cash register has Twice as many nickels as quarters ans 3 more dimes then nickels...if the coins are worth more then 5 dollars, atleast how many dimes are in the register
Answer by macston(5194) About Me  (Show Source):
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N=number of nickels; Q=number of quarters=2N; D=number of dimes=N+3
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$0.05(N)+$0.25(Q)+$0.10(D)>$5.00
$0.05(N)+$0.25(2N)+$0.10(N+3)>$5.00
$0.05N+$0.50N+$0.10N+$0.30>$5.00
$0.65N>$4.70
N>7.23 There are at least 8 nickels.
Q=2N=16 There are at least 16 quarters.
D=N+3=8+3=11 ANSWER: There are at least 11 dimes.
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CHECK:
$0.05(N)+$0.25(Q)+$0.10(D)>$5.00
$0.05(8)+$0.25(16)+$0.10(11)>$5.00
$0.40+$4.00+$1.10>$5.00
$5.50>$5.00
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ANSWER: Given the conditions, there is at least $5.50 in the register, and at least 11 dimes.