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 volunteers for booths and food stands

We find the total volunteers by calculating the volunteers needed for each type of stand and adding them together.

• Game booths: \(7 \text{ booths} \times 3 \text{ volunteers/booth} = 21 \text{ volunteers}\)
• Food stands: \(6 \text{ stands} \times 2 \text{ volunteers/stand} = 12 \text{ volunteers}\)
• Total volunteers: \(21 + 12 = 33 \text{ volunteers}\)

Calculate total raffle ticket sales

We add the sales from Friday and Saturday to find the total amount collected.

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

Calculate popcorn stand revenue

We multiply the number of bags sold by the price per bag to find the total money raised.

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

Calculate number of kids painted

We divide the total money made by the cost per face-painting to find the number of kids.

• Total made: \(\$468\)
• Cost per kid: \(\$6\)
• Kids painted: \(\frac{468}{6} = 78 \text{ kids}\)

Calculate cotton candy sold

We subtract the remaining sticks from the starting number of sticks to find how many were sold.

• Starting sticks: \(350\)
• Remaining sticks: \(94\)
• Sticks sold: \(350 - 94 = 256 \text{ sticks}\)

Answer:

Question 1

\(33\) volunteers

Question 2

\(\$1,434\)

Question 3

\(\$650\)

Question 4

\(78\) kids

Question 5

\(256\) sticks