Real-Life Systems of Equations: Solve & Interpret

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?

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

• 20 adult tickets and 30 student tickets

Maria and John are saving money for a concert. Maria has $20 more than John. Together, they have $120. How much money does each person have?

• John has $50 and Maria has $70.

• John has $60 and Maria has $80.

• John has $30 and Maria has $90.

• John has $40 and Maria has $60.

A farmer has chickens and cows. If there are 30 animals in total and the total number of legs is 100, how many chickens and cows does the farmer have?

• 10 chickens and 20 cows

• 5 chickens and 25 cows

• 15 chickens and 15 cows

• 20 chickens and 10 cows

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?

• 12 boys and 13 girls

• 20 boys and 5 girls

• 10 boys and 15 girls

• 15 boys and 10 girls

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 10 items and spends $6, how many pencils and erasers did they buy?

• 8 pencils and 2 erasers

• 7 pencils and 3 erasers

• 6 pencils and 4 erasers

• 5 pencils and 5 erasers

Two friends, Alex and Jamie, are collecting stickers. Alex has 5 more stickers than Jamie. Together, they have 45 stickers. How many stickers does each friend have?

• Alex has 10 stickers, Jamie has 35 stickers.

• Alex has 20 stickers, Jamie has 25 stickers.

• Alex has 30 stickers, Jamie has 15 stickers.

• Alex has 25 stickers, Jamie has 20 stickers.

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 recipe requires 2 cups of flour and 3 cups of sugar. If a baker wants to make a batch that uses 12 cups of flour, how many cups of sugar will they need?

• 15 cups of sugar

• 12 cups of sugar

• 10 cups of sugar

• 18 cups of sugar

In a fruit basket, there are apples and oranges. If there are twice as many apples as oranges and the total number of fruits is 24, how many apples and oranges are there?

• 10 apples and 14 oranges

• 20 apples and 4 oranges

• 16 apples and 8 oranges

• 12 apples and 12 oranges

A bookstore sells novels for $15 and magazines for $5. If a customer buys a total of 8 items and spends $70, how many novels and magazines did they buy?

• 2 novels and 6 magazines

• 1 novel and 7 magazines

• 4 novels and 4 magazines

• 3 novels and 5 magazines