Let's denote the number of guests Sarah and Eric can invite as g. The catering company charges $300 for the event plus $40 per guest. Hence, the total cost C for g guests can be expressed as:
C = 300 + 40g
Sarah and Eric have set a budget of not more than $5,000, which translates to:
C ≤ 5,000
Substitute the expression for C:
300 + 40g ≤ 5,000
To solve the inequality for g, follow these steps:
1. Subtract 300 from both sides:
40g ≤ 5,000 - 300
2. Simplify the right-hand side:
40g ≤ 4,700
3. Divide both sides by 40 to solve for g:
g ≤ 4,700 / 40
4. Calculate the right-hand side:
g ≤ 117.5
Since you can't invite half a person, Eric and Sarah can invite a maximum of 117 guests to stay within their $5,000 budget for catering.
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.
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1 answer