Question

Trinity has 20 quarters and nickels worth a total of $2.00. How many of each coin does she Include introductory statements as well as a concluding statement.​

Answer 1

We know that Trinity has a total of 20 quarters and nickels, so:

x + y = 20

We also know that the value of x quarters is 25x cents, and the value of y nickels is 5y cents. The total value of the coins is $2.00, which is 200 cents:

25x + 5y = 200

We now have two equations with two variables. We can solve for one variable in terms of the other in one of the equations and substitute that expression into the other equation.

Let's solve for y in terms of x in the first equation:

y = 20 - x

Substitute this expression for y into the second equation:

25x + 5(20 - x) = 200

Simplify and solve for x:

25x + 100 - 5x = 200

20x + 100 = 200

20x = 100

x = 5

Now that we know x = 5, we can use the first equation to find y:

x + y = 20

5 + y = 20

y = 15

Therefore, Trinity has 5 quarters and 15 nickels.

Explanation: