Mastering Systems of Equations: Real-World 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?

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 student tickets

• 35 adult tickets and 15 student tickets

• 40 adult tickets and 10 student tickets

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

• John has $60, Maria has $80

• John has $30, Maria has $90

• John has $40, Maria has $100

• John has $50, Maria has $70

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?

• 5 chickens and 25 cows

• 15 chickens and 15 cows

• 10 chickens and 20 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 in the class?

• 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 $2 each and erasers for $3 each. If a student buys a total of 10 items and spends $24, how many pencils and erasers did they buy?

• 5 pencils and 5 erasers

• 6 pencils and 4 erasers

• 7 pencils and 3 erasers

• 4 pencils and 6 erasers

Two friends, Alex and Sam, are collecting stickers. Alex has 5 more stickers than Sam. If together they have 45 stickers, how many stickers does each friend have?

• Alex has 30 stickers and Sam has 15 stickers.

• Alex has 10 stickers and Sam has 35 stickers.

• Alex has 25 stickers and Sam has 20 stickers.

• Alex has 20 stickers and Sam has 25 stickers.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70, how many miles did they drive?

• 150 miles

• 50 miles

• 100 miles

• 200 miles

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

• 18 cups of sugar

• 12 cups of sugar

• 24 cups of sugar

• 15 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 36, how many apples and oranges are there?

• 18 apples and 18 oranges

• 30 apples and 6 oranges

• 24 apples and 12 oranges

• 20 apples and 16 oranges

A concert hall has two types of tickets: VIP tickets for $150 and regular tickets for $75. If 200 tickets were sold for a total of $15,000, how many of each type of ticket were sold?

• 50 VIP tickets and 150 regular tickets

• 0 VIP tickets and 200 regular tickets

• 100 VIP tickets and 100 regular tickets

• 200 VIP tickets and 0 regular tickets