SOLUTION: Solution: solve for x and y. Moolah has 27 coins that are all dimes and nickles. The value of the coins is $1.95. How many dimes and how many nickles does she have.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Solution: solve for x and y. Moolah has 27 coins that are all dimes and nickles. The value of the coins is $1.95. How many dimes and how many nickles does she have.       Log On


   



Question 808182: Solution: solve for x and y. Moolah has 27 coins that are all dimes and nickles. The value of the coins is $1.95. How many dimes and how many nickles does she have.

Found 2 solutions by JBarnum, TimothyLamb:
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
They don't specify which is x or y so i will say x=n and y=d
I like using the first letter of the word because its easier to know what I'm calculating. Its a personal preference do as you please.
n=nickels which are 0.05 of a dollar
d=dimes which are 0.1 of a dollar
n%2Bd=27
.05n%2B.1d=1.95 id multiply by ten so i can use the subtraction method
.5n%2B1d=19.50 subtract the top equation with this one the d's cancel then solve for n
1n-.5n=27-19.50 add like terms
.5n=7.50 divide by .5 or multiply by 2
n=15
27-14=d solve for d
12=d
So 12 dimes and 15 nickels
Or
x=15 and y=12
Lol found it i thought i did this right. All is well now.

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
d + n = 27
10d + 5n = 195
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10(27 - n) + 5n = 195
270 - 5n = 195
5n = 75
n = 15
d = 12
Answer:
15 nickles and 12 dimes
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