Algebra 1: Solving Systems of Equations Challenge

A school is selling tickets for a concert. Adult tickets cost $15 and student tickets cost $10. If they sold a total of 200 tickets for $2,500, how many adult and student tickets were sold?

• 150 adult tickets and 50 student tickets

• 200 adult tickets and 0 student tickets

• 50 adult tickets and 150 student tickets

• 100 adult tickets and 100 student tickets

Maria and John are saving money for a trip. Maria saves $50 each month, while John saves $30 each month. If they want to save a total of $1,200 together, how many months will it take for them to reach their goal?

• 12 months

• 20 months

• 15 months

• 10 months

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

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 15 chickens and 15 cows

• 25 chickens and 5 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 sold a total of 100 cups and made $240, how many cups did each friend sell?

• Alex sold 50 cups and Jamie sold 50 cups.

• Alex sold 70 cups and Jamie sold 30 cups.

• Alex sold 40 cups and Jamie sold 60 cups.

• Alex sold 60 cups and Jamie sold 40 cups.

A car rental company charges a flat fee of $20 plus $0.50 per mile driven. If a customer paid $50 for their rental, how many miles did they drive?

• 60 miles

• 75 miles

• 45 miles

• 30 miles

In a school, the ratio of boys to girls is 3:2. If there are 50 students in total, how many boys and girls are there?

• 30 boys and 20 girls

• 25 boys and 25 girls

• 40 boys and 10 girls

• 35 boys and 15 girls

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

• 4 fiction and 6 non-fiction books

• 6 fiction and 4 non-fiction books

• 7 fiction and 3 non-fiction books

• 5 fiction and 5 non-fiction books

A local gym offers two membership plans. Plan A costs $30 per month and Plan B costs $20 per month plus a one-time fee of $50. If a customer wants to spend a total of $230, which plan should they choose and how many months will they be a member?

• Plan B for 10 months

• Plan A for 7 months

• Plan A for 8 months

• Plan B for 9 months

A movie theater has two types of tickets: adult tickets for $12 and child tickets for $8. If they sold a total of 150 tickets and made $1,560, how many adult and child tickets were sold?

• 80 adult tickets and 70 child tickets

• 90 adult tickets and 60 child tickets

• 100 adult tickets and 50 child tickets

• 60 adult tickets and 90 child tickets

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 50 fruits for $80, how many apples and bananas did they buy?

• 30 apples and 20 bananas

• 25 apples and 25 bananas

• 40 apples and 10 bananas

• 20 apples and 30 bananas