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9. Una persona compró 4 mesas y 2 sillas por $200. Luego, compró 2 mesas y

sillas por $200. ¿Cuánto cuesta cada mesa y cada silla?
Tables: $25," Chairs:850​

2 Answers

4 votes
I can answer your question but there’s a typo or there’s a word missing in it, so I’ll need the full question .
User Karim H
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Answer:

We have the problem:

"Una persona compró 4 mesas y 2 sillas por $200. Luego, compró 2 mesas y sillas por $200. ¿Cuánto cuesta cada mesa y cada silla?"

Where one data is missing, but in the comments of the question you said that the number of chairs in the second bought is 7, so we have:

Una persona compró 4 mesas y 2 sillas por $200. Luego, compró 2 mesas y 7 sillas por $200. ¿Cuánto cuesta cada mesa y cada silla?

which means:

"One person bought 4 tables and 2 chairs for $ 200. Then, he bought 2 tables and 7 chairs for $ 200. How much does each table and each chair cost?"

So we know that:

4*T + 2*C = $200

2*T + 7*C = $200

Where T is the price of each table and C is the price of each chair.

We can isolate C in the first equation, and get:

2*C = $200 - 4*T

C = $100 - 2*T

and replace it in the second equation to get:

2*T + 7*($100 - 2*T) = $200

2*T + $700 - 14*T = $200

12*T = $500

T = $500/12 = $41.66

Then, we can replace it in the equation:

C = $100 - 2*T = $100 - 2*$41.66 = $16.66

So each chair cost around $16.66 and each table costs around $41.66

User Sfotiadis
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4.6k points