. Rachel has 15 coins with a value of $2.85. If the coins are either dimes or quarters, how many of each coin does she have? Write and solve using a system of equations.

Question

.  Rachel has 15 coins with a value of $2.85.  If the coins are either dimes or quarters, how many of each coin does she have?  Write and solve using a system of equations.

anonymous · Answer

9 quaters
6 dimes

mathmath333 · Answer

1 dime(di)=10 cents 
1 quarter(q)=25 cents
1 dollar =100 cents
hence

$\large\tt \color{black}{10di+25q=2.85\times100}$


$\large\tt \color{black}{10di+25q=285}$

no of coins(in dimes and quarters) =15
hence

$\large\tt \color{black}{di+q=15}$

solve both equations