6. A restaurant can seat 100 people. It has booths

Mathematics

1 answer:

stepan [7]2 years ago

7 0

Answer:

The expression matches the situation is 4x + 6y = 80

Explanation:

We are given a total of 100 seats which is the maximum amount a restaurant can seat

And there are booth with 4 and table with 6 seating

so let no. of 4 seat booths be x and tables with 6 seats be y

We can form the equation as 4x + 6y = 100

We are also given that 5 of the 4 seat booths are full so this means

4 $\times$ 5 = 20 seats out of 100 are full

so left ones can be written in the form of an expression 4x + 6y = 80

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Let the smaller number be x and the larger number be y.
We can calculate this by using simultaneous equation, aka listing 2 equations out.
From given,
X + y = 43
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seraphim [82]

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