Question

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. Find the cost of each notebook and thumb drive.

Answer 1

the cost of each notebook and thumb drive is $5 and $12 respectively .

Step-by-step explanation:

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:

⇒ $4x+y=32$   ....... (1)

Maria bought 3 notebooks and 2 thumb drives for $39

With info following is equation below:

⇒ $3x+2y=39$ ............ (2)

Multiplying equation (1) by 2 and Than subtracting (1) by (2):

⇒ $2(4x+y)-(3x+2y)=2(32)-39$

⇒ $(8x+2y)-(3x+2y)=64-39$

⇒ $5x=25$

⇒ $x=5$

Putting $x=5$ in $4x+y=32$ we get:

⇒ $4(5)+y=32$

⇒ $y=32-20$

⇒ $y=12$

Therefore , the cost of each notebook and thumb drive is $5 and $12 respectively .