Substituting Values to Solve Real-World Systems

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If the total revenue from selling 30 tickets is $200, how many adult and student tickets were sold?

• 15 adult tickets and 15 student tickets

• 20 adult tickets and 10 student tickets

• 5 adult tickets and 25 student tickets

• 10 adult tickets and 20 student tickets

Maria has a total of 50 coins made up of dimes and quarters. If the total value of the coins is $8.50, how many dimes and quarters does she have?

• 15 dimes and 35 quarters

• 20 dimes and 30 quarters

• 26 dimes and 24 quarters

• 30 dimes and 20 quarters

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 cows does the farmer have?

• 5 chickens and 15 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows

• 10 chickens and 10 cows

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

• 4 novels and 6 magazines

• 6 novels and 4 magazines

• 5 novels and 5 magazines

• 3 novels and 7 magazines

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

Two friends, Alex and Jamie, are saving money for a concert. Alex has $20 more than Jamie, and together they have $100. How much money does each friend have?

• Alex has $40, Jamie has $60.

• Alex has $50, Jamie has $50.

• Alex has $70, Jamie has $30.

• Alex has $60, Jamie has $40.

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a batch that uses 12 cups of flour, how many cups of sugar will you need?

• 18 cups of sugar

• 24 cups of sugar

• 6 cups of sugar

• 12 cups of sugar

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 in the class?

• 12 boys and 13 girls

• 10 boys and 15 girls

• 20 boys and 5 girls

• 15 boys and 10 girls

A local gym offers two membership plans. Plan A costs $40 per month and Plan B costs $30 per month plus a one-time fee of $120. If a customer wants to spend the same amount on both plans after 6 months, how much would they spend on each plan?

• Plan A: $180, Plan B: $240

• Plan A: $300, Plan B: $240

• Plan A: $240, Plan B: $150

• Plan A: $240, Plan B: $180

A concert hall has two types of seating: regular seats and VIP seats. Regular seats cost $50 each, and VIP seats cost $100 each. If the total income from selling 200 seats is $12,000, how many regular and VIP seats were sold?

• 180 regular seats and 20 VIP seats

• 160 regular seats and 40 VIP seats

• 100 regular seats and 100 VIP seats

• 150 regular seats and 50 VIP seats