SOLUTION: A jar filled with nickels and quarters contains a total of 50 coins. The value of all the coins in the jar is $6.50. How many quarters are in the jar.

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Question 939585: A jar filled with nickels and quarters contains a total of 50 coins. The value of all the coins in the jar is $6.50. How many quarters are in the jar.
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
1 nickle = 0.05 dollars
1 quarter =0.25 dollars
let x be the no of nickles
let y be the no of quarters
total no of coins =50
x+y = 50..............eq(1)
total worth = $ 6.50
x*0.05+y*0.25 = $6.50 ..............eq(2)
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 1*y to the right, we get:
1%2Ax+=+50+-+1%2Ay, or x+=+50%2F1+-+1%2Ay%2F1. Substitute that
into another equation:
0.05%2A%2850%2F1+-+1%2Ay%2F1%29+%2B+0.25%5Cy+=+6.5 and simplify: So, we know that y=20. Since x+=+50%2F1+-+1%2Ay%2F1, x=30.

Answer: system%28+x=30%2C+y=20+%29.

Result :
no of quarters = 20