the cost of each notebook and thumb drive is $5 and $12 respectively .
<u>Step-by-step explanation:</u>
Here we have , Sam Ana Maria were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Sam bought 4 notebooks and 1 thumb drive for $32. Maria bought 3 notebooks and 2 thumb drives for $39. We need to find the cost of each notebook and thumb drive. Let's find out:
Let the cost of each notebook and thumb drive be x & y respectively , So
Sam bought 4 notebooks and 1 thumb drive for $32.
With info following is equation below:
⇒
....... (1)
Maria bought 3 notebooks and 2 thumb drives for $39
With info following is equation below:
⇒
............ (2)
Multiplying equation (1) by 2 and Than subtracting (1) by (2):
⇒ ![2(4x+y)-(3x+2y)=2(32)-39](https://tex.z-dn.net/?f=2%284x%2By%29-%283x%2B2y%29%3D2%2832%29-39)
⇒ ![(8x+2y)-(3x+2y)=64-39](https://tex.z-dn.net/?f=%288x%2B2y%29-%283x%2B2y%29%3D64-39)
⇒ ![5x=25](https://tex.z-dn.net/?f=5x%3D25)
⇒ ![x=5](https://tex.z-dn.net/?f=x%3D5)
Putting
in
we get:
⇒ ![4(5)+y=32](https://tex.z-dn.net/?f=4%285%29%2By%3D32)
⇒ ![y=32-20](https://tex.z-dn.net/?f=y%3D32-20)
⇒ ![y=12](https://tex.z-dn.net/?f=y%3D12)
Therefore , the cost of each notebook and thumb drive is $5 and $12 respectively .