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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.
01:51
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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.
Answers
GPT 3.5
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.
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.