A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 3 tables is $23. The total cost to re
nt 6 chairs and 5 tables is $43. What is the cost to rent each chair and each table?
2 answers:
Answer: Table = 6.50; Chair = 1.75
Step-by-step explanation:
2c + 3t = 23
6c + 5t = 43
Multiply the first equation by -3
-6c - 9t = -69
Then, add the following lines together:
-6c -9t = -69
6c +5t = 43
-4t = -26
t = -26/-4 = 6.5
Plug in the value of t into 2c +3t = 23
2c +19.5 = 23
Subtract 19.5 from both sides
2c = 3.5
c = 3.5/2 = 1.75
Answer:
chairs: $1.75, tables: $6.50
Step-by-step explanation:
x is tables, y is chairs.
3x +2y=23
5x+6y=43
then:
9x+6y=69 ( multiply all by 3)
-5x-6x=-43 (multiply by -1)
Now add
4x=26
x=6.5
plug x back in to find y
3(6.5)+2y+=23
2y=3.5
y=1.75
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