Question

multi-step word problems (mixed operations)
directions: solve each word problem. show your work.
lincoln middle school fair
the students at lincoln middle school are organizing a fun fair to raise money for new sports equipment. there will be booths, food stands, raffles, and games for all students and families to enjoy.

1. each of the 7 game booths needs 3 student volunteers. if there are also 6 food stands that need 2 volunteers each, how many total volunteers are needed to run the booths and food stands?
2. the raffle booth collected $786 from ticket sales on friday and $648 on saturday. how much money did the raffle booth collect in total?
3. the popcorn stand sold 325 bags. if each bag was sold for $2, how much money did the popcorn stand raise?
4. the face-painting booth made $468. if each face-painting cost $6, how many kids got their faces painted?
5. the cotton candy stand started with 350 sticks. by the end of the event, only 94 were left. how many sticks of cotton candy were sold?

Explanation:

Calculate total volunteers for booths and stands

Using the Multi-Step Word Problems and Basic Arithmetic Operations knowledge points:

• Game booths: \(7 \times 3 = 21\) volunteers.
• Food stands: \(6 \times 2 = 12\) volunteers.
• Total: \(21 + 12 = 33\) volunteers.

Calculate total raffle booth ticket sales

Using the Basic Arithmetic Operations knowledge point:

• Friday sales: \(\$786\).
• Saturday sales: \(\$648\).
• Total: \(786 + 648 = 1434\) dollars.

Calculate total popcorn stand revenue

Using the Basic Arithmetic Operations knowledge point:

• Bags sold: \(325\).
• Price per bag: \(\$2\).
• Total: \(325 \times 2 = 650\) dollars.

Calculate number of kids who got faces painted

Using the Basic Arithmetic Operations knowledge point:

• Total revenue: \(\$468\).
• Cost per face: \(\$6\).
• Total kids: \(468 \div 6 = 78\) kids.

Calculate cotton candy sticks sold

Using the Basic Arithmetic Operations knowledge point:

• Starting sticks: \(350\).
• Remaining sticks: \(94\).
• Total sold: \(350 - 94 = 256\) sticks.

Answer:

Question 1

\(33\) volunteers

Question 2

\(\$1,434\)

Question 3

\(\$650\)

Question 4

\(78\) kids

Question 5

\(256\) sticks