Elizabeth spent exactly $7 for some 15-cent stamps and some 31-cent stamps. How many 15-cent stamps did she buy?

Please answer it by step-by-step.

Respuesta :

By solving an equation, we conclude that she will get 26 of the 15-cent stamps.

How many 15-cent stamps did she buy?

First, let's define the variables:

  • x = number of 15-cent stamps bought.
  • y = number of 31-cent stamps bought.

We know that she spends exactly $7, so we have the linear equation:

$0.15*x + $0.31*y = $7.00

Now we want to solve this for x, so we need to isolate it:

x = ($7.00 - $0.31*y)/$0.15

Where x and y must be two whole numbers (notice that the value of x depends of the value of y).

Now you can try to evaluate in different whole values of y, such that the outcome (x in this case) is also a whole number.

The first value of y such that x is also a whole number is y = 10.

x = ($7.00 - $0.31*10)/$0.15 = 26

Then we conclude that she will get 26 of the 15-cent stamps.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

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