Question

The total bill of a meal at a restaurant is 25x – 115. Five friends agree to split the cost of the meal equally. What could you do to find the amount that each person must pay? Explain.

Answer 1

i would change the 25 in 25x-115 to 5 because 25 divided by 5 friends is 5.

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Answer 2

To find the amount that each person must pay we use the algebraic expression:

`5x-23`

Step-by-step explanation:

As we would do if we were working with just numbers, to split the bill into the five friends we just need to divide the total bill by 5:

`\displaystyle(25x-115)/(5)`

We can then simplify that fraction by factoring a 5 out of the numerator:

`\displaystyle(2(5x-23))/(5)`

Then we can cancel out the common 5 that is present in both top and bottom to finally get:

`5x-23`

That would be the expression to find the amount that each person must pay.