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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

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