Answer:
$4
Step-by-step explanation:
Given that
total cost of 8 identical pens and 2 identical files is $32
And, the The total cost of 3 such files would be the same as the total cost of 4 such pens
We need to find out the cost of each file
So let us assume the following things
Pens be x
File be y
Now
8x + 2y = $32 ....(1)
3y = 4x.........(2)
y = 4x÷ 3
Now put the value of y in equation 1
8x + 1.33x = 32
x = $3.55
x = $4
The cost of each file based on the given information is $4
where:
If the total cost of 8 identical pens and 2 identical files is $32, hence;
8x + 2y = 32
If the total cost of 3 such files is the same as the total cost of 4 such pens, then;
4x = 3y
From the equation
8x + 2y = 32
2(4x) + 2y = 32
2(3y) + 2y = 32
8y = 32
y = 4
Since 6=4x = 3y
4x = 3(4)
4x = 12
x= 3
Hence the cost of each file is $4
Learn more on simultaneous equation here: https://brainly.com/question/6597041
