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.
Answers
Answer:NOTEBOOK= 4
THUMB DRIVE=20
Step-by-step explanation:
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 = - 40t = 40 ÷ 2 = 20From (1)
4n + 5(20) = 1164n + 100 = 1164n = 116 - 1004n = 16n = 16 ÷ 4 = 4Hence, cost of notebook is $4 and cost of thumbdrive is $20
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