Question

Sophie has $4.20 worth of dimes and quarters. She has twice as many quarters asdimes. Write a system of equations that could be used to determine the number ofdimes and the number of quarters that Sophie has. Define the variables that you useto write the system.

Answer 1

Answer:

d = 2q .........................................................................(1)

0.1d + 0.25q = 4.20 ................................................(2)

Step-by-step explanation:

Let d be the number of dimes, and q be the number of quarters Sophie has.

Since she has twice as many quarters as dimes, and they are worth $4.20, we have:

d = 2q .........................................................................(1)

Also, because:

1 dime = $0.1

1 quarter = $0.25

0.1d + 0.25q = 4.20 ..................................................(2)

Equation (1) and (2) can be solved to determine the number of dimes and quarters