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Question

A catering company charges $300 plus $40 per guest for a wedding. Sarah and Eric do not want to spend more than $5,000 on catering. Write and solve an inequality in terms of the number of guests, g, that can be invited.

Answer 1

Let's represent the total cost of catering by the equation:

Total Cost = $300 + $40 * g

As per the information provided, the total cost should not exceed $5,000:

$300 + $40 * g ≤ $5,000

Now let's solve this inequality for the number of guests, g:

$40 * g ≤ $5,000 - $300
$40 * g ≤ $4,700
g ≤ $4,700 / $40
g ≤ 117.5

Since the number of guests must be a whole number, the maximum number of guests that can be invited is 117.