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

Answer:NOTEBOOK= 4

THUMB DRIVE=20

Step-by-step explanation:

Answer 2

The cost of thumbdrive and notebook purchased are $20 and $4 respectively

Let :

Cost of Notebooks = n

Cost of Thumb drive = t

Troy :

• 4n + 5t = 116 - - - - (1)

Lisa :

• 2n + 3t = 68 - - - - (2)

Solving by elimination :

Multiply (1) by 2 and (2) by 4

• 8n + 10t = 232 - - - (3)
• 8n + 12t = 272 - - - (4)

Subtract (3) and (4)

• -2t = - 40
• t = 40 ÷ 2 = 20

From (1)

• 4n + 5(20) = 116
• 4n + 100 = 116
• 4n = 116 - 100
• 4n = 16
• n = 16 ÷ 4 = 4

Hence, cost of notebook is $4 and cost of thumbdrive is $20

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