Real-Life Systems of Equations: Identify Variables & Set Up

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 of each type of ticket did they sell?

• 60 adult tickets and 90 student tickets

• 90 adult tickets and 60 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 together they want to save $150, how many weeks will it take for them to reach their goal?

• 7 weeks

• 5 weeks

• 6 weeks

• 8 weeks

A farmer has chickens and cows. If there are 20 animals in total and they have 56 legs, how many chickens and how many 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

In a fruit basket, there are apples and oranges. If there are 30 fruits in total and the number of apples is twice the number of oranges, how many apples and oranges are there?

• 25 apples and 5 oranges

• 10 apples and 20 oranges

• 15 apples and 15 oranges

• 20 apples and 10 oranges

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

• 200 miles

• 50 miles

• 100 miles

• 150 miles

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

• Alex has 40 coins and Jamie has 40 coins.

• Alex has 60 coins and Jamie has 20 coins.

• Alex has 50 coins and Jamie has 30 coins.

• Alex has 70 coins and Jamie has 10 coins.

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 10 items and spends $80, how many novels and magazines did they buy?

• 5 novels and 5 magazines

• 3 novels and 7 magazines

• 2 novels and 8 magazines

• 4 novels and 6 magazines

In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many boys and how many girls are in the class?

• 20 boys and 5 girls

• 15 boys and 10 girls

• 12 boys and 13 girls

• 10 boys and 15 girls

A restaurant offers two types of meals: a burger meal for $8 and a pasta meal for $10. If a customer orders a total of 5 meals and spends $42, how many of each meal did they order?

• 3 burger meals and 2 pasta meals

• 2 burger meals and 3 pasta meals

• 4 burger meals and 1 pasta meal

• 5 pasta meals

A local gym has two types of memberships: a monthly membership for $30 and a yearly membership for $300. If 40 memberships were sold for a total of $1,200, how many of each type of membership were sold?

• 10 monthly memberships and 30 yearly memberships

• 40 monthly memberships and 0 yearly memberships

• 20 monthly memberships and 20 yearly memberships

• 30 monthly memberships and 10 yearly memberships