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An office manager buys 2 office chairs and 4 file cabinets for $380. Next year she buys 4 office chairs and 6 file cabinets for $660. What i
Question
An office manager buys 2 office chairs and 4 file cabinets for $380. Next year she buys 4 office chairs and 6 file cabinets for $660. What is the cost of each office chair, c? What is the cost of each file cabinet, f? Explain how you fond the cost of each chair and file cabinet.
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Mathematics
4 years
2021-08-10T21:25:25+00:00
2021-08-10T21:25:25+00:00 2 Answers
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Answers ( )
Answer:
file cabinet = 50
chair = 90
Step-by-step explanation:
x = chair
y = file cabinet
1st year, solve for x
2x+4y = 380
2x = 380 – 4y
x = 190 – 2y
2nd year
Now substitute x = 190 – 2y in your 2nd year formula
4x+6y = 660
4(190-2y)+6y = 660
760 – 8y + 6y = 660
-2y = -100
y = 50
The cost of the filling cabinet is 50 each
Now use the value for y (50) in your first formula to get x
2x+4y=380
2x+4*50=380
2x=380-200
2x=180
x=90
Answer:
16.5
Step-by-step explanation: