Question

A caterer charges $350 plus $25.50 per guest to cater a wedding. Walt and Traci don't want to spend more than $8000 on catering. Write an equation that models this situation. How many guest can attend the wedding so they stay on budget?

Answer 1

Hi Lawrence!

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We Know:

Charges $350

$25.50 for each person

Alt and Traci don't want to spend more than $8,000

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Inequality:

x = number of guests

y = total

350 + 25.50x = y

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Solution:

8,000 - 350 = $7,650

7,650 / 25.50 = 300

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Answer: Walt and Traci can have 300 guests without paying more than $8,000.

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Hope This Helps :)

Answer 2

Hi there!

So let's start by establishing what "x" and "y" are going to be in our equation:

x = the number of guests

y = the $8,000 budget

Here's the equation:

8,000 = 25.50x + 350

Now to solve the equation you just have to isolate the "x" :

8,000 = 25.50x + 350

Subtract 350 from each side of the equation

7,650 = 25.50x

Divide each side of the equation by 25.50

300 = x

So your answer is : 300 guests can attend the wedding so that Walt and Traci stay on budget!

Here you go! I really hope this helped, if there's anything just let me know! :)