Question

Sam and 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 each thumb drive

Answer 1

Given:

4 notebooks and 1 thumb-drive = $32

3 notebooks and 2 thumb-drive = $39

To Find:

The cost of each notebooks and each thumb-drive

Solution

Define x and y:

Let the cost of a notebook be x

let the cost of a thumb-drive be y

Form equations:

4x + y = 32 ------------------------ [ 1 ]

3x + 2y = 39 ---------------------- [ 2 ]

Equation [ 1 ] x 2:

8x + 2y = 64 ---------------------- [ 3 ]

[ 3 ] - [ 2 ] :

5x = 25

x = 5

Substitute x = 5 into [ 1 ]:

4(5) + y = 32

20 + y = 32

y = 32 - 20

y = 12

Find the cost of each notebook and each thumb-drive:

notebook = x

notebook = $5

thumb-drive = y

thumb-drive = $12

Answer: Each notebook is $5 and each thumb-drive is $12.

Answer 2

Answer:

each notebook is rs. 5 and each thumb drive is rs. 12