Answer:
<u>$4</u> is spent on a big pail and <u>$2</u> is spent on a small pail.
Step-by-step explanation:
Given:
10$ 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 ![x.](https://tex.z-dn.net/?f=x.)
And the cost of small pail be ![\frac{x}{2} .](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%20.)
As given, there are 2 big pails.
And the total money spent = $10.
According to question:
![(x+x)+\frac{x}{2}=10](https://tex.z-dn.net/?f=%28x%2Bx%29%2B%5Cfrac%7Bx%7D%7B2%7D%3D10)
![2x +\frac{x}{2}=10](https://tex.z-dn.net/?f=2x%20%2B%5Cfrac%7Bx%7D%7B2%7D%3D10)
![\frac{4x+x}{2} =10](https://tex.z-dn.net/?f=%5Cfrac%7B4x%2Bx%7D%7B2%7D%20%3D10)
![\frac{5x}{2} =10](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B2%7D%20%3D10)
<em>Multiplying both sides by 2 we get:</em>
![5x=20](https://tex.z-dn.net/?f=5x%3D20)
<em>Dividing both sides by 5 we get:</em>
![x=4.](https://tex.z-dn.net/?f=x%3D4.)
<em>The cost of a big pail</em> = $4.
<em>So, the cost of a small pail</em> = ![\frac{x}{2} =\frac{4}{2}=\$2.](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%20%3D%5Cfrac%7B4%7D%7B2%7D%3D%5C%242.)
Therefore, $4 is spent on a big pail and $2 is spent on a small pail.