Question

Sophie has $4.20 worth of dimes and quarters. She has twice as many quarters as dimes, write a system of equations that could be used to determine the number of dimes and the number of quarters that Sophie has, define the variables that you use to write the system.

Answer 1

To write a system of equations to determine the number of dimes and quarters Sophie has, use the variables D and Q. The equations are Q = 2D and 0.10D + 0.25Q = 4.20.

Step-by-step explanation:

To write a system of equations to determine the number of dimes and quarters Sophie has, let's define the variables:

Let D be the number of dimes

Let Q be the number of quarters

We know that Sophie has twice as many quarters as dimes, so we can write the equation:

Q = 2D

We also know that the total value of dimes and quarters is $4.20. Since each dime is worth 10 cents and each quarter is worth 25 cents, we can write the equation:

0.10D + 0.25Q = 4.20

These two equations form a system that can be used to determine the number of dimes and quarters Sophie has.

Answer 2

Answer:q=amount of quarters

d=amount of dimes

0.10d+0.25q=4.20

2d=q