. 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.

Chelle · Accepted Answer

d = dimes q = quarters Equations: 10d + 25q = 285 d + q = 15 Solve by substitution or elimination Substitution: 10d + 25q = 285 d = 15 - q Elimination: 10d + 25q = 285 -10(d + q) = -10(15)