Solving Real-World Inequalities: A Step-by-Step Challenge

A school is planning a field trip and needs to collect at least $500 from students. If each student pays $15, how many students must participate? Write the inequality and solve it.

• 40

• 34

• 25

• 30

Maria has $120 to spend on supplies for a project. If she buys notebooks for $5 each and markers for $3 each, how many notebooks and markers can she buy if she wants to spend less than her total budget?

• 15 notebooks and 10 markers

• 10 notebooks and 20 markers

• Maria can buy various combinations of notebooks and markers, such as 20 notebooks and 0 markers, or 19 notebooks and 1 marker.

• 30 notebooks and 5 markers

A gym charges a monthly fee of $30 plus $5 for each class attended. If a member wants to spend no more than $100 in a month, how many classes can they attend? Write the inequality and solve it.

• 10

• 14

• 16

• 12

Tom is saving money to buy a new bike that costs $250. He saves $20 each week. Write an inequality to represent how many weeks it will take him to save enough money, and solve it.

• w >= 13

• w > 13

• w <= 12

• w < 13

A concert hall has a seating capacity of 800. If 200 tickets are sold at $50 each and the rest at $30 each, how many tickets can be sold at the lower price while still making at least $20,000?

• 333

• 500

• 400

• 250

A farmer has a budget of $600 to buy seeds. If he buys corn seeds for $2 per packet and tomato seeds for $3 per packet, how many packets of each type can he buy if he wants to buy at least 100 packets in total?

• He can buy 90 packets of corn seeds and 10 packets of tomato seeds.

• 100 packets of corn seeds and 0 packets of tomato seeds.

• 80 packets of corn seeds and 20 packets of tomato seeds.

• 70 packets of corn seeds and 30 packets of tomato seeds.

Lisa is planning a party and wants to spend no more than $200 on food and drinks. If she spends $10 per person on food and $5 per person on drinks, how many people can she invite? Write the inequality and solve it.

• 13

• 20

• 15

• 10

A bookstore is having a sale where each book costs $8. If a customer wants to buy at least 10 books but spend no more than $80, how many books can they buy? Write the inequality and solve it.

• 12 books

• 10

• 15 books

• 8 books

Tags

CCSS.6.EE.B.8

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend no more than $100, how many miles can they drive? Write the inequality and solve it.

• 200 miles

• 150 miles

• 300 miles

• 250 miles

Tags

CCSS.7.EE.B.4B

A charity event aims to raise at least $1,000. If each ticket sold is $25 and they have already sold 20 tickets, how many more tickets do they need to sell? Write the inequality and solve it.

• 15

• 25

• 20

• 30