Mastering Linear Equations: Solve Real-World Problems

A farmer has chickens and cows. If the total number of animals is 30 and there are 80 legs in total, how many chickens and how many cows does the farmer have?

• 20 chickens and 10 cows

• 15 chickens and 15 cows

• 25 chickens and 5 cows

• 10 chickens and 20 cows

Two friends, Alice and Bob, are selling lemonade and cookies. Together, they sold 50 items, and Alice sold 10 more items than Bob. How many items did each sell?

• Alice sold 25 items, Bob sold 25 items.

• Alice sold 40 items, Bob sold 10 items.

• Alice sold 20 items, Bob sold 30 items.

• Alice sold 30 items, Bob sold 20 items.

A school is organizing a field trip. The cost of a bus is $200, and each student pays $10. If 30 students are going, how many buses are needed?

• 1 bus

• 3 buses

• 5 buses

• 2 buses

A concert hall has two types of tickets: regular tickets for $50 and VIP tickets for $100. If 200 tickets were sold for a total of $12,000, how many of each type were sold?

• 100 regular tickets and 100 VIP tickets

• 180 regular tickets and 20 VIP tickets

• 150 regular tickets and 50 VIP tickets

• 160 regular tickets and 40 VIP tickets

In a bookstore, the total number of books is 120. If the number of fiction books is twice the number of non-fiction books, how many fiction and non-fiction books are there?

• Fiction books: 50, Non-fiction books: 70

• Fiction books: 60, Non-fiction books: 60

• Fiction books: 80, Non-fiction books: 40

• Fiction books: 100, Non-fiction books: 20

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $70, how many miles did they drive?

• 150 miles

• 200 miles

• 100 miles

• 250 miles

A local gym offers two membership plans. Plan A costs $25 per month, and Plan B costs $15 per month plus a one-time fee of $50. If a customer spent $125, which plan did they choose and for how many months?

• Plan A for 5 months

• Plan B for 5 months

• Plan B for 3 months

• Plan A for 4 months

Two types of smoothies are sold at a cafe: small smoothies for $3 and large smoothies for $5. If 40 smoothies were sold for a total of $150, how many of each type were sold?

• 20 small smoothies and 20 large smoothies

• 30 small smoothies and 10 large smoothies

• 10 small smoothies and 30 large smoothies

• 25 small smoothies and 15 large smoothies

A bookstore sells notebooks for $2 each and pens for $1 each. If a customer bought a total of 30 items for $50, how many notebooks and pens did they buy?

• 10 notebooks and 20 pens

• 20 notebooks and 10 pens

• 15 notebooks and 15 pens

• 25 notebooks and 5 pens

A school is planning a dance. The cost of renting the hall is $500, and they charge $10 per ticket. If they want to make a profit of $200, how many tickets do they need to sell?

• 60

• 80

• 70

• 90