Answer:

Step-by-step explanation:
Let
denotes number of pencils, markers, erasers respectively.
For Andrea:

For Justin:

For Virginia:

On subtracting equations (i) and (ii), we get

Put
in equation (i)

Put
in equation (iii)

Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.

Put
in equation 

Put
in equation (i)

The partial fraction decomposition is 
<h3>How to determine the decomposition?</h3>
The fraction is given as:

Split the fraction as follows:

Take the LCM

Cancel the common factors
8x + 19 = Ax - A + Bx + 8B
By comparison, we have:
Ax + Bx = 8x
-A + 8B = 19
This gives
A + B = 8
-A + 8B = 19
Add both equations
9B = 27
Divide by 9
B = 3
Substitute B = 3 in A + B = 8
A + 3 = 8
Solve for A
A = 5
So, we have:

Hence, the partial fraction decomposition is 
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Answer:

Step-by-step explanation:
four-fifth means 4/5 .
we let the amount of the money to be x.
so four-fifth of money =4/5 of x.
twenty Five more than three tenth of the initial amount means 25+3/4 of x.
the equation becomes
