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pav-90 [236]
3 years ago
11

Terri and Donna both sell crafts at two different craft shows each weekend. Terri is charged a 5% commission on the amount of mo

ney she earns and pays $35 for her booth. Donna is charged a 3% commission on the amount of money she earns and pays $55 for her booth.
On the last weekend in November, Terri and Donna both earned the same amount of money at their craft shows. They both paid their respective craft shows the same total amount of money for their booths and commission





Set up a system of equations to model the amount of money Terri and Donna pay each weekend at the craft shows. Let x represent the money earned from sales, let T represent the total amount Terri pays in one weekend, and let D represent the total amount Donna pays in one weekend.

 
Mathematics
1 answer:
harina [27]3 years ago
5 0

Answer:

T   = 0.05x + 35

D  = 0.03x + 55

Step-by-step explanation:

i) On the last weekend in November both Terri and Donna earned from sales the amount of x.

ii) Terri pays the amount T = 0.05x + 35

iii) Donna pays the amount D  = 0.03x + 55

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use elimination to solve. For a production of sweeney Todd in Las Vegas, orchestra seats cost $42 and mezzanine seats cost $25.
lidiya [134]

They bought 8 orchestra seats and 6 mezzanine seats.

Step-by-step explanation:

Cost of one orchestra seat = $42

Cost of one mezzanine seat = $25

No. of people = 14

Amount spent = $486

Let,

x be the number of orchestra seats

y be the number of mezzanine seats

According to given statement;

x+y=14     Eqn 1

42x+25y=486    Eqn 2

Multiplying Eqn 1 by 25;

25(x+y=14)\\25x+25y=350\ \ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2 to eliminate y;

(42x+25y)-(25x+25y)=486-350\\42x+25y-25x-25y=136\\17x=136

Dividing both sides by 17

\frac{17x}{17}=\frac{136}{17}\\x=8

Putting x=8 in Eqn 1

8+y=14\\y=14-8\\y=6

They bought 8 orchestra seats and 6 mezzanine seats.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/11258952
  • brainly.com/question/11343416

#LearnwithBrainly

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