Answer:
Therefore total number of pencils and pens in container A is 875.
Therefore total number of pencils and pens in container B is 7125.
Step-by-step explanation:
Given that,
Container A contains 150 pencils and 725 pens.
The ratio of number of the number of pencil to the number of pen in container B is 2:3.
Let the number of pencil and number of pencil in container B be 2x and 3x respectively.
Since all pencils and pen of container B are placed in container A.
So, the number pencil and pen in container A is (150+2x) and (725+3x) respectively.
Now the ratio of pencil to pen is
![=\frac{150+2x}{725+3x}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B150%2B2x%7D%7B725%2B3x%7D)
According to the problem,
![\frac{150+2x}{725+3x}=\frac 35](https://tex.z-dn.net/?f=%5Cfrac%7B150%2B2x%7D%7B725%2B3x%7D%3D%5Cfrac%2035)
![\Rightarrow 5(150+2x)=3(725+3x)](https://tex.z-dn.net/?f=%5CRightarrow%205%28150%2B2x%29%3D3%28725%2B3x%29)
![\Rightarrow 750+10x=2175+9x](https://tex.z-dn.net/?f=%5CRightarrow%20750%2B10x%3D2175%2B9x)
![\Rightarrow 10x-9x=2175-750](https://tex.z-dn.net/?f=%5CRightarrow%2010x-9x%3D2175-750)
![\Rightarrow x=1475](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D1475)
The number pencils in container B is = 2x
=(2×1475)
=2850
The number of pens in container B is = 3x
=(3×1475)
=4425
Therefore total number of pencils and pens in container A is =(150+725)
=875
Therefore total number of pencils and pens in container B is
=(2850+4425)
=7,125