Jennifer went to the post office for stamps. She bought the same number of 8 cents stamps and 10 cents stamps. She also bought as many 2 cents stamps as both of the other two combined. How many of each kind did she get if she paid a total of $4.40 for them all?

Question

Jennifer went to the post office for stamps. She bought the same number of 8 cents stamps and 10 cents stamps. She also bought as many 2 cents stamps as both of the other two combined. How many of each kind did she get if she paid a total of $4.40 for them all?

Answer 1

8 cent stamps --- x

10 cent stamps ---x
2 cent stamps = 2x

8x + 10x + 2(2x) = 440
solve for x and sub into my definitions

Answer 2

Let's assume Jennifer bought x number of 8 cents stamps, y number of 10 cents stamps, and z number of 2 cents stamps.

1. We know that the cost of x 8 cents stamps is 8x cents.
2. The cost of y 10 cents stamps is 10y cents.
3. The cost of z 2 cents stamps is 2z cents.

According to the given information, Jennifer paid a total of $4.40, which is equal to 440 cents.

We can set up the following equation based on the given information:

8x + 10y + 2z = 440

We also know that Jennifer bought the same number of 8 cents stamps as 10 cents stamps, so x = y.

Furthermore, she bought as many 2 cents stamps as both of the other two combined, so z = 2(x + y).

We can substitute the values of x and y into the equation:

8(x) + 10(x) + 2(2(x + x)) = 440
8x + 10x + 4x + 4x = 440
26x = 440
x = 440/26
x = 17

Therefore, Jennifer bought 17 8 cents stamps, 17 10 cents stamps, and 2(17 + 17) = 68 2 cents stamps.

Answer 3

To solve this problem, we can use a system of equations.

Let's set up some variables:

Let's say the number of 8 cents stamps Jennifer bought is "x".
The number of 10 cents stamps Jennifer bought is also "x".
The number of 2 cents stamps Jennifer bought is "2(x + x)", as it is the same as both the 8 cents stamps and the 10 cents stamps combined.

Now, let's set up the equations:

The cost of the 8 cents stamps is 8x cents.
The cost of the 10 cents stamps is 10x cents.
The cost of the 2 cents stamps is 2(2x) cents, which simplifies to 4x cents.

The total cost of all the stamps is $4.40, which is equal to 440 cents.

So, we have the equation:

8x + 10x + 4x = 440

Simplifying the equation:

22x = 440
Dividing both sides by 22:

x = 20

Now that we know x, we can find the number of each type of stamp:

The number of 8 cents stamps is x, which is 20.
The number of 10 cents stamps is also x, which is 20.
The number of 2 cents stamps is 2(x + x), which is 2(20 + 20), which is 2(40), which is 80.

So, Jennifer bought 20 of each kind of stamp and paid a total of $4.40 for them.