Seventh Grade Bash

by Maggie Wehr

About the project

In class we have been working on a back to school party for the seventh graders. Our job was to find the combination of cheapest food, music and activities, for the party.

Food

We were given three options for food, all with different prices.

Proposed plan:

  1. Multiply the kids by the amount of money for the food and add the cost of the fee. Then, compare the costs to find the best deal. I will be using 350 as the number of kids in the seventh grade.

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What I did

Describe what the steps you used to solve each row of the table.



I multiplied the number of students by the cost for each person, (burger bonanza: 10, Pizza place: 9, and stacked: 8) and then added the fee. Which is 20 for burger bonanza, 50 for pizza palace, and 30 for stacked.


Will there ever be a number of students where both companies will cost the same? Describe the steps you would use and then solve for the number of students for which both companies will cost the same amount.

You could find the closest numbers and multiply them by different amounts of kids to try and find the intersecting cost.



How do the steps you followed in Question 2 compare to the Order of Operations?

It could compare to order of operations because you do a certain thing in the problem before another. This is because each number or quantity relies on another.



If you only have a budget of $1000 for food, how many people, maximum, would you be able to have at the 7th Grade Blowout? Can you have a decimal or fraction as part of your answer? Why or why not?

You couldn’t because you cant split a person in half and you could pay for only 118 students. This would cost $994.



WHICH WOULD GIVE YOU A BEST PRICE AT PIZZA PALACE!

Music

After finding the food, we had two options of music, which are Spin City and Classic Spin

Proposed Plan

Proposed Plan:

Multiply the cost of each hours by the amount of hour the party is.

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what I did

  1. Describe the steps you used to solve each row of the table.

I multiplied the cost for each hour by the amount of hours to find the overall cost.

  1. Will there ever be a number of hours where both companies will cost the same? Describe the steps you would use and then solve for the number of hours for which both companies will cost the same amount.

Yes there is spin city and classic spin have the same cost on Spin city’s 4th hour and Classic spins 5th hour.

  1. How do the steps you followed in Question 2 compare to the Order of Operations?

They compare because each number relies on another to find.

  1. If you only have a budget of $1000 for a DJ or music company, how many hours, maximum, would you be able to afford? Can you have a decimal or fraction as part of your answer? Why or why not?

    The most amount of hours you could pay for is 11 hours, with classic spin, for a cost $925

CLASSIC SPIN IS THE WINNER

Adding up the costs of the food and music, the party would come out to a cost of $1919