SOLUTION: A person has 30 coins consisting of dimes and quarters. The total value of the coins is $4.95. Find the number of dimes and quarters. I tried x(.25)+y(.10)=30 and x(.25)

Question 315810: A person has 30 coins consisting of dimes and quarters. The total value of the coins is $4.95. Find the number of dimes and quarters.
I tried x(.25)+y(.10)=30
and
x(.25)+y(.10)=4.95
Neither came out quite right, so I'm not sure what I'm doing wrong. Please help. Thank you.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of dimes
Let = number of quarters
given:
(1)

(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)

and, since

The person has 17 dimes and 13 quarters