Solving Real-World Linear Systems: 8th Grade Challenge

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 150 tickets for $1,200, how many adult and student tickets were sold?

• 90 adult tickets and 60 student tickets

• 60 adult tickets and 90 student tickets

• 100 adult tickets and 50 student tickets

• 80 adult tickets and 70 student tickets

Maria and John are saving money for a concert. Maria saves $15 each week, while John saves $10 each week. If Maria has $30 more than John after a certain number of weeks, how many weeks have they been saving?

• 10 weeks

• 8 weeks

• 4 weeks

• 6 weeks

A farmer has chickens and cows. If there are 20 animals in total and the total number of legs is 56, how many chickens and how many cows does the farmer have?

• 10 chickens and 10 cows

• 5 chickens and 15 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows

Two friends, Alex and Jamie, are collecting baseball cards. Alex has twice as many cards as Jamie. Together, they have 90 cards. How many cards does each friend have?

• Alex has 60 cards, Jamie has 30 cards.

• Alex has 30 cards, Jamie has 60 cards.

• Alex has 45 cards, Jamie has 45 cards.

• Alex has 75 cards, Jamie has 15 cards.

A store sells pencils for $0.50 each and erasers for $1.00 each. If a customer buys a total of 30 items for $20, how many pencils and erasers did they buy?

• 10 pencils and 20 erasers

• 20 pencils and 10 erasers

• 25 pencils and 5 erasers

• 15 pencils and 15 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 there?

• 20 boys and 5 girls

• 12 boys and 13 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?

• 50 miles

• 150 miles

• 100 miles

• 200 miles

Samantha and her sister are baking cookies. Samantha uses 2 cups of flour for every 3 cups of sugar, while her sister uses 1 cup of flour for every 2 cups of sugar. If they used a total of 10 cups of flour, how much sugar did they use?

• 17 cups of sugar

• 20 cups of sugar

• 15 cups of sugar

• 12 cups of sugar

A bookstore sells novels for $12 each and textbooks for $25 each. If a customer buys a total of 8 books for $144, how many novels and textbooks did they buy?

• 4 novels and 4 textbooks

• 6 novels and 2 textbooks

• 2 novels and 6 textbooks

• 5 novels and 3 textbooks

In a park, there are ducks and swans. If there are 40 birds in total and the total number of legs is 120, how many ducks and how many swans are there?

• 25 ducks and 15 swans

• 20 ducks and 20 swans

• 30 ducks and 10 swans

• 35 ducks and 5 swans