Solving Real-World Systems of Equations: A Grade 8 Challenge

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?

• 35 adult tickets and 15 student tickets

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 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?

• 8 weeks

• 5 weeks

• 6 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?

• 15 chickens and 5 cows

• 10 chickens and 10 cows

• 5 chickens and 15 cows

• 12 chickens and 8 cows

Two friends, Alex and Jamie, are running a lemonade stand. Alex sells lemonade for $2 per cup and Jamie sells it for $3 per cup. If they made a total of $60 from selling 25 cups, how many cups did each friend sell?

• Alex sold 15 cups and Jamie sold 10 cups.

• Alex sold 5 cups and Jamie sold 20 cups.

• Alex sold 20 cups and Jamie sold 5 cups.

• Alex sold 10 cups and Jamie sold 15 cups.

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?

• 75 miles

• 120 miles

• 50 miles

• 100 miles

In a bookstore, the price of a novel is $12 and the price of a magazine is $5. If a customer buys a total of 10 items and spends $80, how many novels and magazines did they buy?

• 4 novels and 6 magazines

• 2 novels and 8 magazines

• 3 novels and 7 magazines

• 5 novels and 5 magazines

A local gym offers two membership plans. Plan A costs $25 per month and Plan B costs $15 per month plus a one-time fee of $50. If a customer wants to spend a total of $200, which plan should they choose and how many months can they afford?

• Choose Plan B and afford 10 months.

• Choose Plan B and afford 12 months.

• Choose Plan A and afford 8 months.

• Choose Plan A and afford 10 months.

A pizza shop sells two sizes of pizzas. A small pizza costs $8 and a large pizza costs $12. If a customer buys a total of 10 pizzas for $88, how many small and large pizzas did they buy?

• 6 small pizzas and 4 large pizzas

• 10 large pizzas and 0 small pizzas

• 5 small pizzas and 5 large pizzas

• 8 small pizzas and 2 large pizzas

In a school, there are two types of clubs: art clubs and science clubs. If there are 30 students in total and 10 more students are in art clubs than in science clubs, how many students are in each type of club?

• 20 students in science clubs and 10 students in art clubs.

• 5 students in science clubs and 25 students in art clubs.

• 15 students in science clubs and 15 students in art clubs.

• 10 students in science clubs and 20 students in art clubs.

A bakery sells muffins and cookies. Each muffin costs $2 and each cookie costs $1. If a customer buys a total of 15 items and spends $24, how many muffins and cookies did they buy?

• 9 muffins and 6 cookies

• 7 muffins and 8 cookies

• 8 muffins and 7 cookies

• 10 muffins and 5 cookies