SOLUTION: Pocket change: Harry has $2.25 in nickels, dimes, and quarters. If he had twice as many nickels, half as many dimes and the same number of quarters, he would have $2.50. If he h

Question 187158: Pocket change: Harry has $2.25 in nickels, dimes, and quarters. If he had twice as many nickels, half as many dimes and the same number of quarters, he would have $2.50. If he has 27 coins altogether, then how many of each does he have?

2) Three digit number: The sum of the digits of a three-digit number is 11. If the digits are reversed, the new number is 46 more than 5 times the old number. If the hundreds digit plus twice the tens digit is equal to the units digit, then what is the number?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of nickels
Let = number of dimes
Let = number of quarters
given:
(1)
(2)
(3)
-----------------------
There are 3 unknowns and 3 equations, so it's solvable
(2)
(2)
Subtract (1) from (2)
(2)
(1)
(4)
(4)
(4)
And, from (3),
(3)
(3)
From(1)
(1)
(1)
(1)
(1)
(1)
(1)
(1)
(1)
(1)
and
(4)
(4)
and
(3)
(3)
(3)
(3)
Harry has 15 nickels, 10 dimes, and 2 quarters
check:
(1)
(1)
(1)
(1)
OK
RELATED QUESTIONS
Jeff has $1.30 in change. He has twice as many nickels as dimes. He has half as many... (answered by stanbon)

Jon has quarters, dimes, and nickels in his pocket. The value of his money is $1.75.... (answered by josgarithmetic)

harry has $2.25 in nickles, dimes, and quarters. If he had twice as many nickels, half as (answered by TimothyLamb,jsmallt9)

Alex has $2.85 in coins in his pocket. He has 3 times as many quarters as dimes and half... (answered by phoihe001,y6n3o9p4)

John has 24 coins in his pocket-nickels, dimes and quarters-amounting to $3.80. If he... (answered by venugopalramana)

Harry has $6.10 in his pocket. He has twice as many quarters as nickels and one more dime (answered by ikleyn,Edwin McCravy)

Michael has nickels, dimes and quarters in his pocket worth $5.25. He has twice as many... (answered by stanbon)

Harry saved nickels, dimes, and quarters in a jar. When the jar was full, he counted the (answered by eperette,ankor@dixie-net.com)

1. Mary has $2.25 in coins. She has the same number of quarters as dimes. She has half as (answered by ankor@dixie-net.com)