let the two numbers be x and y
From the first sentence,
xy=24
x+y=10
Then make y in equation 2 the subject of the formular and substitute in equation 1
x+y=10
y=10-x
substituting in equation 2
x(10-x)=24
open the bracket
10x-x^2=24
=-x^2+10x=24
Transfer the constant to the left hand side
=-x^2+10x-24=0
Then factorise completely
Look at the photo above
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
And the cost of small pail be
As given, there are 2 big pails.
And the total money spent = $10.
According to question:
<em>Multiplying both sides by 2 we get:</em>
<em>Dividing both sides by 5 we get:</em>
<em>The cost of a big pail</em> = $4.
<em>So, the cost of a small pail</em> =
Therefore, $4 is spent on a big pail and $2 is spent on a small pail.