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amm1812
4 years ago
15

A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 3 tables is $30. The total cost to re

nt 4 chairs and 8 tables is $77. What is the cost to rent each chair and each table?
Mathematics
1 answer:
Inessa05 [86]4 years ago
4 0

The cost of renting chair is $2.25 and table is $8.5

Step-by-step explanation:

Let x be the cost of rent a chair

and

Let y be the cost of renting a table

Then

2x+3y=30\ \ \ Eqn\ 1\\4x+8y=77\ \ \ \ Eqn\2\\Multiplying\ Eqn\ 1\ by\ 2\ and\ then\ subtracting\ from\ Eqn\ 2\\2(2x+3y)=2(30)\\4x+6y=60\\Subtraction\\4x+8y-(4x+6y) = 77-60\\4x+8y-4x-6y=17\\2y=17\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{17}{2}\\y= 8.5\\Putting\ y=8.5\ in\ eqn\ 1\\2x+3y=30\\2x+3(8.5)=30\\2x+25.5=30\\Subtracting\ 25.5\ from\ both\ sides\\2x+25.5-25.5=30-25.5\\2x=4.5\\Dividing\ both\ sides\ by\ 2\\\frac{2x}{2}=\frac{4.5}{2}\\y=2.25

The cost of renting chair is $2.25 and table is $8.5

Keywords: Linear system of equations, Variables

Learn more about linear systems at:

  • brainly.com/question/5510873
  • brainly.com/question/5527192

#learnwithBrainly

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A diesel train traveled to the repair yards and
jek_recluse [69]

Answer:

B.  16 hrs

Step-by-step explanation:

Distance = rate × time

The best way to do this is to make a table with the info.  We are concerned with the trip There and the Return trip.  Set it up accordingly:

                    d     =     r     ×     t

There    

Return

The train made a trip from A to B and then back to A again, so the distances are both the same.  We don't know what the distance is, but it doesn't matter.  Just go with it for now.  It'll be important later.

               d     =     r     ×     t

There      d    

Return     d

We are also told the rates.  There is 70 km/hr and return is 80 km/hr

               d     =     r     ×     t

There      d     =    70

Return     d     =    80

All that's left is the time column now.  We don't know how long it took to get there or back, but if it took 2 hours longer to get There than on the Return, the Return trip took t and the There trip took t + 2:

                      d     =     r     ×     t

There             d     =    70   ×    t+2

Return            d     =    80   ×     t

The distances, remember, are the same for both trips, so that means that by the transitive property of equality, their equations can be set equal to each other:

70(t + 2) = 80t

70t + 140 = 80t

140 = 10t

14 = t

That t represents the Return trip's time.  Add 2 hours to it since the There trip's time is t+2.  So 14 + 2 = 16.  

B.  16 hours

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3 years ago
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Answer:

Step-by-step explanation:

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4 years ago
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miv72 [106K]

Answer:

8.06

Step-by-step explanation:

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