Two coworkers picked up some writing instruments at the office supply store. Janice selected 6 boxes of pencils and 10 boxes of ballpoint pens, paying $36. Next, Kendra spent $34 on 4 boxes of pencils and 10 boxes of ballpoint pens. How much does a box of each cost?
If the price of a box of pencils is $p, and ballpoints cost $b then
6p+10b = 36
4p+10b = 34
subtract to see that
2p = 2
Now finish it off
To find the cost of a box of each writing instrument, let's assume the cost of a box of pencils is "x" dollars and the cost of a box of ballpoint pens is "y" dollars.
From the given information, we can set up two equations:
Janice's purchase:
6x + 10y = 36
Kendra's purchase:
4x + 10y = 34
Now, we can solve this system of equations to find the values of x and y.
First, let's eliminate y by subtracting the second equation from the first equation:
(6x + 10y) - (4x + 10y) = 36 - 34
6x - 4x + 10y - 10y = 2
2x = 2
x = 1
Now that we have found the value of x, we can substitute it back into either of the original equations to solve for y.
Using the first equation:
6(1) + 10y = 36
6 + 10y = 36
10y = 36 - 6
10y = 30
y = 3
Therefore, a box of pencils costs $1 and a box of ballpoint pens costs $3.
i do not know but i am guessing 1dollar a box for the pencils and 3 dollars a box for the pens
hope it helps
@oobleck what
i am saying that each box of pencils cost 1$ and each box of pens cost 3$