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Sagot :

Answer:

a.[tex]\frac{x+10}{5} = 9.5[/tex]

b. $37.50

Step-by-step explanation:

To find out how much the 5 were paying in total, we can add the bill and the tip. This gives us x + 10. Since there are 5 people and they are splitting the bill equally, the total amount would be divided by 5 to get the amount each person pays: [tex]\frac{x+10}{5}[/tex]. We already know the amount they each paid, as it is given as $9.50. Both expressions represent the same thing, do we can set them equal to each other:

[tex]9.5 = \frac{x+10}{5}[/tex]

Now, we can solve.

First, we can multiply by 5 on both sides to get:

47.5 = x + 10

And then subtract 10:

x = 37.5

This means the bill before the tip was $37.50