Respuesta :
Answer:
$4 is spent on a big pail and $2 is spent on a small pail.
Step-by-step explanation:
Given:
10$ is spent on 2 big pails and 1 small one.
A small pail cost half as much as each big one.
Now, to find the amount spent on a big pail and on a small pail.
Let the cost of a big pail be [tex]x.[/tex]
And the cost of small pail be [tex]\frac{x}{2} .[/tex]
As given, there are 2 big pails.
And the total money spent = $10.
According to question:
[tex](x+x)+\frac{x}{2}=10[/tex]
[tex]2x +\frac{x}{2}=10[/tex]
[tex]\frac{4x+x}{2} =10[/tex]
[tex]\frac{5x}{2} =10[/tex]
Multiplying both sides by 2 we get:
[tex]5x=20[/tex]
Dividing both sides by 5 we get:
[tex]x=4.[/tex]
The cost of a big pail = $4.
So, the cost of a small pail = [tex]\frac{x}{2} =\frac{4}{2}=\$2.[/tex]
Therefore, $4 is spent on a big pail and $2 is spent on a small pail.
