Solving Linear Equations: Systems in Real-Life Scenarios

A school is selling tickets for a play. Adult tickets cost $10 each and student tickets cost $5 each. 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

• 15 adult tickets and 35 student tickets

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

Maria and John are saving money for a concert. Maria saves $15 each week, while John saves $10 each week. If they want to save a total of $150 together, how many weeks will it take for them to reach their goal?

• 5 weeks

• 6 weeks

• 8 weeks

• 7 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?

• 10 chickens and 10 cows

• 15 chickens and 5 cows

• 5 chickens and 15 cows

• 12 chickens and 8 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 50 cards, Jamie has 30 cards.

• Alex has 60 cards, Jamie has 20 cards.

• Alex has 70 cards, Jamie has 10 cards.

• Alex has 40 cards, Jamie has 40 cards.

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

• 50 miles

• 100 miles

• 75 miles

• 120 miles

In a school, the number of boys is twice the number of girls. If there are 60 students in total, how many boys and girls are there?

• 50 boys and 10 girls

• 40 boys and 20 girls

• 20 boys and 40 girls

• 30 boys and 30 girls

A store sells pencils for $2 each and erasers for $1 each. If a customer buys a total of 10 items and spends $16, how many pencils and erasers did they buy?

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

A local gym has two types of memberships: a monthly membership for $25 and a yearly membership for $250. If 40 members signed up and the total revenue was $800, how many of each type of membership was sold?

• 10 monthly memberships and 30 yearly memberships

• 40 monthly memberships and 0 yearly memberships

• 30 monthly memberships and 10 yearly memberships

• 20 monthly memberships and 20 yearly memberships

A bakery sells muffins for $3 each and cookies for $2 each. If a customer buys a total of 15 items and spends $36, how many muffins and cookies did they buy?

• 5 muffins and 10 cookies

• 6 muffins and 9 cookies

• 7 muffins and 8 cookies

• 4 muffins and 11 cookies

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

• 15 boys and 10 girls

• 20 boys and 5 girls

• 10 boys and 15 girls