Solving Systems of Equations: Word Problems Challenge

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

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

• 20 adult tickets and 30 student tickets

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

• John has $60 and Maria has $80.

• John has $30 and Maria has $50.

• John has $40 and Maria has $60.

• John has $50 and 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?

• 10 chickens and 20 cows

• 20 chickens and 10 cows

• 15 chickens and 15 cows

• 5 chickens and 25 cows

Two friends, Alex and Sam, are collecting baseball cards. Alex has 3 times as many cards as Sam. If together they have 80 cards, how many cards does each friend have?

• Alex has 60 cards and Sam has 20 cards.

• Alex has 70 cards and Sam has 10 cards.

• Alex has 40 cards and Sam has 40 cards.

• Alex has 50 cards and Sam has 30 cards.

A store sells pencils for $2 each and erasers for $3 each. If a customer 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

• 4 pencils and 6 erasers

• 7 pencils and 3 erasers

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

• 15 boys and 10 girls

• 10 boys and 15 girls

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

• 150 miles

• 50 miles

• 200 miles

• 100 miles

A bakery sells muffins for $1.50 each and cookies for $2 each. If a customer buys a total of 12 items and spends $20, how many muffins and cookies did they buy?

• 10 muffins and 2 cookies

• 8 muffins and 4 cookies

• 6 muffins and 6 cookies

• 5 muffins and 7 cookies

A movie theater has two types of tickets: regular tickets for $8 and VIP tickets for $12. If a group of friends bought a total of 15 tickets and spent $120, how many of each type of ticket did they buy?

• 12 regular tickets, 3 VIP tickets

• 5 regular tickets, 10 VIP tickets

• 15 regular tickets, 0 VIP tickets

• 10 regular tickets, 5 VIP tickets

In a garden, there are twice as many roses as tulips. If there are 36 flowers in total, how many roses and tulips are there?

• 18 tulips and 18 roses

• 12 tulips and 24 roses

• 10 tulips and 26 roses

• 15 tulips and 21 roses