ECE: Project 2
Areas of focus: Areas of focus: 5.2, 5.3, 5.5, 6.3, 6.4
Show all work for each question. Spelling and grammar matter!
Scenario: Your children’s museum is nearly ready to open. Lots of volunteers have come forward, but most have
limited training, so you have to do much of the design work yourself, so they don’t make expensive mistakes.
Everyone comes at you at one time with questions. Help each by determining the answers to their questions:
1) One of your assistants needs help with the following. Please change the mixed numbers to fractions.
5 2/3 =
1 9/16 =
3 1/2 =
2 8/32 =
2) Now please help the assistant change fractions to mixed numbers.
18
33
17
17
/6 =
/4 =
/32 =
/8 =
3) You will need electricity to run your museum. It will need to run continuously 24 hours a day. A local
business is willing to cover the cost if you will give them an accurate budget amount for the year. You will use
approximately 29,837 kWh of electricity per month, and the cost per daytime kWh is $0.120444 (7:00 am to
7:00 pm) and nighttime kWh is $0.065921 (7:01 pm to 6:59 am) (kWh = Kilowatt Hour).
4) A local construction company is donating scrap wood so you and your team can create a children’s play area.
What is the average length of the pieces in the diagram below?
5) During your first couple of months you want to give each child who visits the museum a small bag
of candy when they leave. You will be sending one of your volunteers to the store to purchase needed
supplies. The person will need DETAILED instructions for what to buy. You expect to have about 5,000
children visit the museum, so you need enough supplies to create 5,000 goodie bags.
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What is your budget if you plan to spend a maximum of $0.60 per bag?
You will need to buy multiple bags of candy. Each type of candy has a different number of
candies per bag. How many total bags of candy will you need? How much will you spend?
What will the total sales tax be on the purchase assuming the transaction takes place in
Idaho?
Write a linear inequality to model purchasing the bags and one type of candy.
Candy containers = 200 bags per package
Candy 1 = 80 pieces per bag
Candy 2 = 90 pieces per box
Candy 3= 300 pieces per box
$6.21 per package
$18.79 per package
$19.24 per box
$28.13 per box
6) One of your volunteers stole most of vinyl squares you were going to put on the floors of the
hexagons. You determine that 6/10ths of the latest shipment of 7,250 were taken. How many vinyl
squares do you have left?
7) Because you are now limited in vinyl squares, you decide to use carpet squares for most of the
floors. You estimate you will need 3600 squares. You find multiple incomplete boxes filled with carpet
squares. How many carpet squares do you have all together? Will it be enough to cover the floors?
Box 1: Holds 1,675 carpet squares, but it is only 3/5ths full
Box 2: Holds 2,525 carpet squares, but 2/3 are wet and unusable
Box 3: Holds 1,800 carpet squares, 6% are missing
8) You have allowed 7 hours to complete setup of the play area, given 3 people will be working on it.
One of the people in that team is sick so now you will only have 2 people working on setup of the
play area. How long will you need to plan for completion of the project given the reduction in
workers?
9) You have to determine how much you will charge for field trips to your museum. If you charge each
class a fixed amount of $30.00 plus $2.00 per child, how many students would need to come for you
to start making a profit if your costs come out to $75.00 for large groups?
After answering each item (be sure to show your work), submit to Canvas.
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