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 50 tickets for $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 new video game. 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 there are 56 legs, how many chickens and cows does the farmer have?

• 10 chickens and 10 cows

• 5 chickens and 15 cows

• 15 chickens and 5 cows

• 12 chickens and 8 cows

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?

• 75 miles

• 50 miles

• 100 miles

• 120 miles

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

• Alex has 40 stickers and Jamie has 40 stickers.

• Alex has 50 stickers and Jamie has 30 stickers.

• Alex has 60 stickers and Jamie has 20 stickers.

• Alex has 70 stickers and Jamie has 10 stickers.

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

• 7 pencils and 3 erasers

• 6 pencils and 4 erasers

• 5 pencils and 5 erasers

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?

• 30 boys and 30 girls

• 40 boys and 20 girls

• 50 boys and 10 girls

• 20 boys and 40 girls

A concert hall has two types of seating: regular seats for $25 and VIP seats for $50. If 200 tickets were sold for a total of $7,500, how many of each type of ticket were sold?

• 200 regular seats and 0 VIP seats

• 50 regular seats and 150 VIP seats

• 100 regular seats and 100 VIP seats

• 150 regular seats and 50 VIP seats

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 much sugar will you need?

• 15 cups of sugar

• 18 cups of sugar

• 10 cups of sugar

• 12 cups of sugar

A bookstore sells novels for $12 and magazines for $5. If a customer buys a total of 15 items and spends $120, how many novels and magazines did they buy?

• 6 novels and 9 magazines

• 5 novels and 10 magazines

• 4 novels and 11 magazines

• 7 novels and 8 magazines