Answered

IDNLearn.com: Your trusted platform for finding precise and reliable answers. Discover in-depth answers to your questions from our community of experienced professionals.

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

Sagot :

Denimjackets23idn

Answer:

1 notebook=$30.7

1 thumb drive =$12.2

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

[tex] \frac{6x}{6} = \frac{184}{6} \\ \\ x = \frac{92}{3}[/tex]

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

[tex] \frac{3y}{3} = \frac{36.6}{3} \\ y = \frac{36.6}{3} = 12.2[/tex]

Therefore, the cost of each thumb drive = $12.2

Proof

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

31.4+36.6=$68.0

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.