Question

You have $3.70 in dimes and quarters you have five more quarters than dimes write a system of equations that can be used to determine how many quarters you haveyou have $3.70 in dimes and quarters you have five more quarters than dimes write a system of equations that can be used to determine how many quarters you have

Answer 1

A system of equations can be set up with two variables representing the number of dimes and quarters to determine how many of each the student has, basing one equation on the total value and the other on the quantity relationship between the coins.

Step-by-step explanation:

To solve the problem of determining how many quarters and dimes a student has, where the total amount is $3.70, and they have five more quarters than dimes, we need to set up a system of equations. We will assign variables, let d represent the number of dimes and q represent the number of quarters.

Since a quarter is worth 25 cents and a dime is worth 10 cents, we can write our first equation based on the total value:

• 0.25q + 0.10d = 3.70

We know the student has five more quarters than dimes, which gives us our second equation:

• q = d + 5

With these two equations, we can use substitution or elimination methods to find the values of q and d and determine the exact number of quarters and dimes.