Taking into account the definition of a system of linear equations, the correct answer is option D: the price per box for pencils is $2.50, and the price per package of pens is $3.50.
System of linear equations
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
In this case, the system of equations to be solved is
3x+5y=25
6x+8y=43
where:
- x is the number of boxes of pencils.
- y is the number of packages of pens.
If the solution to the system of equations is (x,y)= (2.5,3.5), the number of boxes of pencils is $2.5 and the number of packages of pens is $3.5
The complete question is: "Mrs.owens bought 3 boxes of pencils and 5 packages of pens for a total of cost $25. Mr. Wu bought 6 bought 6 boxes of pencils and 8 packages of pens for a total cost of $43
3x+5y=25
6x+8y=43
The solution to the system of equations is (2.5,3.5). Which option below best interprets this results?
A.The price per box for pencils is $0.25, and the price per package of pens is $0.35.
B.The price per box for pencils is $0.35, and the price per package of pens is $0.25.
C.The price per box for pencils is $2.50, and the price per package of pens is $3.50.
D.The price per box for pencils is $3.50, and the price per package of pens is $2.50"