Real-Life Linear Equations: Solving Everyday Problems

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 50 tickets for $400, how many adult and student tickets were sold?

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

• 35 adult tickets and 15 student tickets

• 25 adult tickets and 25 student tickets

Maria and John are saving money for a concert. Maria saves $15 each week, while John saves $10 each week. If Maria has saved $90 more than John after a certain number of weeks, how many weeks have they been saving?

• 18

• 15

• 20

• 12

A farmer has chickens and cows. If there are 20 animals in total and the total number of legs is 56, how many chickens and cows does the farmer have?

• 15 chickens and 5 cows

• 5 chickens and 15 cows

• 12 chickens and 8 cows

• 10 chickens and 10 cows

Two friends, Alex and Jamie, are running a lemonade stand. Alex sells lemonade for $2 per cup and Jamie sells it for $3 per cup. If they made a total of $60 after selling 25 cups, how many cups did each friend sell?

• Alex sold 15 cups and Jamie sold 10 cups.

• Alex sold 5 cups and Jamie sold 20 cups.

• Alex sold 10 cups and Jamie sold 15 cups.

• Alex sold 20 cups and Jamie sold 5 cups.

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50 for their rental, how many miles did they drive?

• 50 miles

• 100 miles

• 120 miles

• 75 miles

In a school, the ratio of boys to girls is 3:2. If there are 40 students in total, how many boys and girls are there?

• 20 boys and 20 girls

• 30 boys and 10 girls

• 15 boys and 25 girls

• 24 boys and 16 girls

A bookstore sells fiction and non-fiction books. Fiction books cost $12 each and non-fiction books cost $15 each. If a customer bought 10 books for a total of $130, how many of each type did they buy?

• 5 fiction and 5 non-fiction books

• 6 fiction and 4 non-fiction books

• 4 fiction and 6 non-fiction books

• 7 fiction and 3 non-fiction books

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 on their membership, which plan did they choose and for how many months?

• Plan A for 4 months

• Plan B for 5 months

• Plan A for 5 months

• Plan B for 3 months

A delivery service charges a base fee of $5 plus $1.50 per mile. If a customer paid $20 for a delivery, how many miles was the delivery?

• 5 miles

• 8 miles

• 10 miles

• 15 miles

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer bought a total of 30 fruits for $50, how many apples and bananas did they buy?

• 15 apples and 15 bananas

• 25 apples and 5 bananas

• 10 apples and 20 bananas

• 20 apples and 10 bananas