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(1\%) Brendan is celebrating his birthday at a local pizza parlor. The all-you-can-eat meal costs \( \$ 11 \) per adult and \( \$ 4 \) per child. He wants to stay under a budget of \( \$ 190 \) for the party. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. \( x= \) the number of adults attending \( \begin{array}{l}11 x+4 y>190 \\ 11+x+4+y>190 \\ 11+x+4+y<190\end{array} \)

Ask by Vaughan Ingram. in the United States
Feb 04,2025

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The inequality is \( 11x + 4y < 190 \).

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Extra Insights

To represent Brendan's birthday party budget situation using an inequality, we can formulate it based on the costs for adults and children. Since \( x \) is the number of adults and \( y \) is the number of children, the total cost for the meal would be \( 11x + 4y \). Brendan wants to stay under a budget of \( \$ 190 \), which translates to the inequality: \[ 11x + 4y < 190. \] This clearly shows that the total cost for adults and children needs to be less than \( \$ 190 \). Now, let's dive into some fun facts about similar real-life situations! When throwing a party, especially one with a meal involved, it's essential to keep track of your guest count. A classic party-planning tip is to create a simple RSVP system. This not only helps you understand how much food you need but also keeps you within budget. Guests may sometimes bring along additional friends, so always prepare a little extra just in case! Another common mistake in budgeting for events is neglecting hidden costs. With a pizza party, don't forget about taxes and tips! Always consider adding about 15-20% to your budget for additional charges that may not be included in the initial pricing. It’s better to be slightly over-prepared than to end up scrambling for extra funds at the last moment.

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