Solving Real-World Problems with Systems of Equations

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 150 tickets for $1,200, how many adult and student tickets were sold?

• 80 adult tickets and 70 student tickets

• 100 adult tickets and 50 student tickets

• 90 adult tickets and 60 student tickets

• 60 adult tickets and 90 student tickets

Maria and John are saving money for a concert. Maria has $50 and saves $10 a week, while John has $30 and saves $15 a week. In how many weeks will they have the same amount of money?

• 8 weeks

• 4 weeks

• 2 weeks

• 6 weeks

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

• 12 chickens and 8 cows

• 15 chickens and 5 cows

• 5 chickens and 15 cows

• 10 chickens and 10 cows

Two friends, Alex and Jamie, are collecting baseball cards. Alex has 3 times as many cards as Jamie. Together, they have 80 cards. How many cards does each friend have?

• Alex has 40 cards, Jamie has 40 cards.

• Alex has 50 cards, Jamie has 30 cards.

• Alex has 70 cards, Jamie has 10 cards.

• Alex has 60 cards, Jamie has 20 cards.

A bookstore sells fiction and non-fiction books. Fiction books cost $12 each and non-fiction books cost $15 each. If they sold 40 books for a total of $480, how many of each type were sold?

• 30 fiction books and 10 non-fiction books

• 40 fiction books and 0 non-fiction books

• 20 fiction books and 20 non-fiction books

• 10 fiction books and 30 non-fiction books

In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many boys and girls are there?

• 15 boys and 10 girls

• 12 boys and 13 girls

• 10 boys and 15 girls

• 20 boys and 5 girls

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

• 100 miles

• 50 miles

• 75 miles

• 120 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 wants to spend $100, which plan should they choose and how many months can they afford?

• Choose Plan B and afford 5 months.

• Choose Plan A and afford 4 months.

• Choose Plan A and afford 3 months.

• Choose Plan B and afford 4 months.

A bakery sells muffins and cookies. Muffins are sold for $2 each and cookies for $1 each. If they sold a total of 100 items for $150, how many muffins and cookies were sold?

• 40 muffins and 60 cookies

• 60 muffins and 40 cookies

• 50 muffins and 50 cookies

• 30 muffins and 70 cookies

In a fruit market, apples cost $2 each and oranges cost $3 each. If a customer buys a total of 10 fruits for $24, how many apples and oranges did they buy?

• 5 apples and 5 oranges

• 4 apples and 6 oranges

• 7 apples and 3 oranges

• 6 apples and 4 oranges