SOLUTION: A vending machine contains nickels & dimes = $14.50 There are 95 more nickels than dimes. Would the equation be: (x+4.75) + y = $14.50 But everyway I try to figure it it come

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Question 490292: A vending machine contains nickels & dimes = $14.50
There are 95 more nickels than dimes.
Would the equation be:
(x+4.75) + y = $14.50
But everyway I try to figure it it comes out wrong.
Thank you
Found 2 solutions by Alan3354, John10:
Answer by Alan3354(30993) About Me  (Show Source):
You can put this solution on YOUR website!
A vending machine contains nickels & dimes = $14.50
There are 95 more nickels than dimes.
----------------------
Make it 2 equations.
n = # of nickels, d = # of dimes
------------
n = d + 95
5n + 10d = 1450
5(d + 95) + 10d = 1450
15d + 475 = 1450
15d = 975
d = 65 dimes
n = 160 nickels
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Here's another approach:
If it's zero dimes and 95 nickels --> 475
Each additional nickel adds another dime, so 15 cents is added for each additional dime.
1450 - 475 = 975
975/15 = 65 nickels added
95 + 65 = 160 nickels, etc

Answer by John10(245) About Me  (Show Source):
You can put this solution on YOUR website!
Let number of nickles be x
Let ----------dimes be y
The VALUES:
0.05x + 0.10y = 14.50
The amount of each type:
x = y + 95
Solve the system of two linear equations:
0.05x + 0.10y = 14.50
x = y + 95
Hint: x = 160 and y = 65
John10:)