SOLUTION: Alex has 95 cents in dimes and nickels. The total number of coins is 1 more than twice the number of dimes. How many coins of each type does Alex have? I can not figure out the

Question 364485: Alex has 95 cents in dimes and nickels. The total number of coins is 1 more than twice the number of dimes. How many coins of each type does Alex have?
I can not figure out the two equations.
I know that one is Dx + Ny = 95
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Alex has dimes and nickels.
The total count is .
Each dime is worth 10 and each nickel is worth 5.
Total value equation:

1.
.
.
Total coin count equation:

2.
Substitute eq. 2 into eq. 1,

Then from eq. 2,

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi,
Let x represent the number of dimes.
question statets the total coins then is (2x + 1)
The number of nickels is total coins - the number of dimes = [(2x+1) - x ]
Note: there are 5 cents in a nickel and 10 cents in a dime.
5[(2x+1) - x ] + 10x = 95 cents
simplify and slove for x
5[x + 1] + 10x = 95
5x + 5 + 10x = 95
15x = 90
x = 6, the number of dimes
number of nickles is [(2*6 + 1) - 6] = 7 nickels
checking our answer
5*7 + 6*10 = 35 cents + 60 cents = 95 cents
RELATED QUESTIONS
plato has 58 coins in nickels,dimes,and quarters.The number of nickels is three less than (answered by jorel1380)
Ed has 95 cents in dimes and nickels. The total number of coins is one more than twice... (answered by Alan3354,ankor@dixie-net.com)
blake has only nickels and dimes he has twice as many nickels as dimes the total value of (answered by Alan3354)
Sam found a number of nickels, dimes and quarters. He found 3 more dimes than nickels but (answered by ankor@dixie-net.com)
Adina has a total of $1.65 in nickels and dimes. The number of dimes is six more than... (answered by stanbon)
a Woman has 11 coins, consisting of nickels and dimes. she has three more dimes than... (answered by josmiceli)
Mr. Jones has $0.70 in dimes and nickels. The total number of coins is 2 more than 3... (answered by ikleyn)
Ray has only nickels in his hand and Brisa has exactly the same number of dimes and no... (answered by lynnlo)
roxanne has P4.65 in 5 cents and 25 cents. The number of 25 cents coins is 1 more than... (answered by ikleyn,MathTherapy,greenestamps)