Question

Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought 4 notebooks and 5 thumb drives for $116. Lisa bought 2 notebooks and 3 thumb drives for $68. Find the cost of each notebook and each thumb drive

Answer 1

1 notebook=$30.7

1 thumb drive =$12.2

Step-by-step explanation:

Let x represent the number of notebooks and y represent the number of thumb drives.

4x+5y = $116 ................1

2x+3y = $68..................2

4x+2x=$116+$68

6x=184

`(6x)/(6) = (184)/(6) \\ \\ x = (92)/(3)`

Therefore, the cost of each notebook=30.66

=$30.7

2x+3y=$68

2(30.7)+3y =$68

$31.4+3y=$68

3y=$68 - $31.4

3y=36.6

`(3y)/(3) = (36.6)/(3) \\ y = (36.6)/(3) = 12.2`

Therefore, the cost of each thumb drive = $12.2

Proof

2(30.7)+3(12.2)=$68

31.4+36.6=$68.0