Real-Life Systems of Equations: Solve and Identify Variables

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?

• 20 adult tickets and 30 student tickets

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

Maria and John are saving money for a concert. Maria has $20 more than John. Together, they have $120. How much money does each person have?

• John has $30 and Maria has $90.

• John has $60 and Maria has $80.

• John has $50 and Maria has $70.

• 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?

• 10 chickens and 20 cows

• 25 chickens and 5 cows

• 15 chickens and 15 cows

• 20 chickens and 10 cows

In a bookstore, the price of a novel is $15 and a magazine is $5. If a customer buys a total of 10 items for $100, how many novels and magazines did they buy?

• 5 novels and 5 magazines

• 6 novels and 4 magazines

• 4 novels and 6 magazines

• 3 novels and 7 magazines

Two friends, Alex and Sam, are collecting coins. Alex has twice as many coins as Sam. Together, they have 36 coins. How many coins does each friend have?

• Alex has 24 coins and Sam has 12 coins.

• Alex has 30 coins and Sam has 6 coins.

• Alex has 18 coins and Sam has 18 coins.

• Alex has 20 coins and Sam has 16 coins.

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?

• 100 miles

• 200 miles

• 150 miles

• 50 miles

A restaurant sells burgers for $8 and fries for $3. If a customer spent $45 on 6 items, how many burgers and fries did they order?

• 3 burgers and 3 fries

• 4 burgers and 2 fries

• 6 burgers and 0 fries

• 5 burgers and 1 fries

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?

• 12 boys and 13 girls

• 15 boys and 10 girls

• 20 boys and 5 girls

• 10 boys and 15 girls

A gardener is planting flowers and shrubs. Each flower costs $3 and each shrub costs $5. If the gardener spends $60 and buys a total of 20 plants, how many flowers and shrubs did they buy?

• 15 flowers and 5 shrubs

• 5 flowers and 15 shrubs

• 10 flowers and 10 shrubs

• 20 flowers and 0 shrubs

A movie theater has two types of tickets: regular tickets for $12 and VIP tickets for $20. If they sold a total of 100 tickets for $1,200, how many regular and VIP tickets were sold?

• 100 regular tickets and 0 VIP tickets

• 80 regular tickets and 20 VIP tickets

• 50 regular tickets and 50 VIP tickets

• 70 regular tickets and 30 VIP tickets