john has a total of 9 stamps, which consists of 25-cent and 2-cent stamps. his stamps have a value of $1.10. how many of each stamp does john have?

To get an even amount ($1.10), you need either two quarter stamps ($.50) or four quarter stamps ($1.00) with the remainder in $.02 stamps. Which would involve 9 stamps?

I hope this helps. Thanks for asking.

4 x 25 stamps and 5 x .02 = 1.10

but how..... i can't understand it!

To solve this problem, we can set up a system of equations based on the given information.

Let's assume that John has x 25-cent stamps and y 2-cent stamps.

From the given information, we can form two equations:

Equation 1: The total number of stamps is 9.
x + y = 9

Equation 2: The total value of the stamps is $1.10.
(0.25)x + (0.02)y = 1.10

We now have a system of two equations with two variables. To solve it, we can use substitution or elimination method.

Let's use the substitution method:
From Equation 1, we can isolate x and express it in terms of y:
x = 9 - y

Substituting x in Equation 2:
(0.25)(9 - y) + (0.02)y = 1.10

Now, simplify the equation:
2.25 - 0.25y + 0.02y = 1.10
2.25 - 0.23y = 1.10
-0.23y = 1.10 - 2.25
-0.23y = -1.15

Now, divide both sides of the equation by -0.23 to solve for y:
y = (-1.15) / (-0.23)
y = 5

We have found that John has 5 2-cent stamps.
To find the number of 25-cent stamps, substitute y back into Equation 1:
x + 5 = 9
x = 9 - 5
x = 4

John has 4 25-cent stamps and 5 2-cent stamps.