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-Dominant- [34]
3 years ago
11

The Country Buffet restaurant has tables that seat 6 people and booths that can seat 4 people. The restaurant has 38 seating uni

ts for seating a total of 188 people. Write a system of equations and use it to find the number of tables and the number of booths that are at the restaurant?
Using the variables that you defined in question three, write a system of equations to represent this situation.
Mathematics
1 answer:
Yuliya22 [10]3 years ago
8 0
The system of equations will be as following below!

6t + 4b = 188
t + b = 38

This is because it can have a total of 188 people in the place with 38 total seating units. Though it is not in the question, quarantine has be bored, so I’ll answer how many booths and tables there are too.

I’ll use substitution to solve this.

t = 38 - b

6(38 - b) + 4b = 188

228 - 6b + 4b = 188

-2b = -40

b = 20

t + 20 = 38

t = 18

So there are 20 booths and 18 tables in the Country Buffet!
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3 years ago
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liraira [26]
Answer:
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Explanation:
The question states all the necessary values that we need for the ratio. The company created 2156 board games and 9 card games.

However, what we need to pay attention to here is the order of the ratio.

Because the question is “What is the ratio of the number of board games to the number of card games”, we know that we need to write the ratio so the number of board games is first.

Additionally, ratios can also be written like fractions. The first number of the ratio would be the top number/numerator in fraction form.

Therefore, the ratio of the number of board games to the number of card games is 2156:9

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