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.

Answer 1

9 quaters
6 dimes

Answer 2

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