SOLUTION: A jar contains 50 coins all either 2 cents or 5 cents. The total value of the coins is $1.87. How many 2 cents coins are there?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: A jar contains 50 coins all either 2 cents or 5 cents. The total value of the coins is $1.87. How many 2 cents coins are there?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 936396: A jar contains 50 coins all either 2 cents or 5 cents. The total value of the coins is $1.87. How many 2 cents coins are there?
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the no of 2 cents coins and y be the no of 5 cents coins
total no of coins =50
x+y= 50 -------------eq(1)
The total value of the coins is $1.87
x*0.02+y*0.05 = 1.87 .........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:
0.02%2A%2850%2F1+-+1%2Ay%2F1%29+%2B+0.05%5Cy+=+1.87 and simplify: So, we know that y=29. Since x+=+50%2F1+-+1%2Ay%2F1, x=21.

Answer: system%28+x=21%2C+y=29+%29.

no of 2 cents coins =21
no of 5 cents coins =29