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the number of customers waiting inside a restaurant was 2 less than a third of those waiting inside. if three customers were waiting inside how many were outside​

Sagot :

Answer:

15 customers were outside

Step-by-step explanation:

Represent customers inside with x and customers outside with y.

So, we have:

[tex]x = \frac{1}{3}y - 2[/tex] --- First Statement

[tex]x = 3[/tex] --- Second Statement

Required

Find y

Substitute 3 for x in [tex]x = \frac{1}{3}y - 2[/tex]

[tex]3 = \frac{1}{3}y - 2[/tex]

Add 2 to both sides

[tex]2 + 3 = \frac{1}{3}y - 2 + 2[/tex]

[tex]2 + 3 = \frac{1}{3}y[/tex]

[tex]5= \frac{1}{3}y[/tex]

Multiply both sides by 3

[tex]3 * 5= \frac{1}{3}y *3[/tex]

[tex]15 = y[/tex]

[tex]y = 15[/tex]

Hence; 15 customers were outside

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