Solving Real-Life Linear Equations: Substitution & Elimination

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If the total revenue from selling 50 tickets is $400, how many adult and student tickets were sold?

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 student tickets

• 20 adult tickets and 30 student tickets

• 40 adult tickets and 10 student tickets

Maria and John are saving money for a concert. Maria has $20 more than John. If they combine their savings, they have $100. How much does each person have?

• John has $20 and Maria has $80.

• John has $30 and Maria has $70.

• John has $50 and Maria has $50.

• John has $40 and Maria has $60.

A farmer has chickens and cows. The total number of animals is 30, and there are 80 legs in total. How many chickens and cows does the farmer have?

• 20 chickens and 10 cows

• 25 chickens and 5 cows

• 10 chickens and 20 cows

• 15 chickens and 15 cows

Two friends, Alex and Sam, are collecting baseball cards. Alex has 3 times as many cards as Sam. Together, they have 64 cards. How many cards does each friend have?

• Sam has 24 cards and Alex has 40 cards.

• Sam has 32 cards and Alex has 32 cards.

• Sam has 20 cards and Alex has 44 cards.

• Sam has 16 cards and Alex has 48 cards.

A bookstore sells fiction and non-fiction books. The fiction books cost $12 each, and the non-fiction books cost $15 each. If a customer buys 10 books for a total of $130, how many of each type did they buy?

• 8 fiction and 2 non-fiction books

• 6 fiction and 4 non-fiction books

• 5 fiction and 5 non-fiction books

• 7 fiction and 3 non-fiction books

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?

• 10 boys and 15 girls

• 15 boys and 10 girls

• 12 boys and 13 girls

• 20 boys and 5 girls

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?

• 150 miles

• 50 miles

• 200 miles

• 100 miles

A bakery sells muffins and cookies. Each muffin costs $2 and each cookie costs $1. If a customer buys 15 items for $26, how many muffins and cookies did they buy?

• 12 muffins and 3 cookies

• 9 muffins and 6 cookies

• 10 muffins and 5 cookies

• 11 muffins and 4 cookies

Two numbers have a sum of 30 and a difference of 6. What are the two numbers?

• 18 and 12

• 20 and 10

• 15 and 15

• 24 and 6

A gym offers two types of memberships: a monthly membership for $30 and an annual membership for $300. If 10 people choose the monthly membership and 5 choose the annual membership, how much total revenue does the gym earn from these memberships?

• $2100

• $1200

• $1800

• $1500