Mastering Substitution: Solve Real-World Equations

A school is selling tickets for a play. Adult tickets cost $10 each and student tickets cost $5 each. 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

• 5 adult tickets and 25 student tickets

• 20 adult tickets and 10 student tickets

• 10 adult tickets and 20 student tickets

Maria and John are saving money for a new bike. Maria has $20 more than John. If they have a total of $120 saved, how much does each person have?

• John has $60 and Maria has $80.

• John has $30 and Maria has $90.

• John has $40 and Maria has $60.

• John has $50 and Maria has $70.

A farmer has chickens and cows. The total number of animals is 50, and there are 150 legs in total. How many chickens and cows does the farmer have?

• 20 chickens and 30 cows

• 15 chickens and 35 cows

• 25 chickens and 25 cows

• 30 chickens and 20 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 and spends $100, how many novels and magazines did they buy?

• 4 novels and 6 magazines

• 5 novels and 5 magazines

• 3 novels and 7 magazines

• 6 novels and 4 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

• 50 miles

• 100 miles

• 120 miles

Two friends, Alex and Jamie, are collecting stickers. Alex has 5 more stickers than Jamie. Together, they have 45 stickers. How many stickers does each friend have?

• Alex has 10 stickers and Jamie has 35 stickers.

• Alex has 30 stickers and Jamie has 15 stickers.

• Alex has 25 stickers and Jamie has 20 stickers.

• Alex has 20 stickers and Jamie has 25 stickers.

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 200 seats were sold for a total of $12,000, how many of each type of seat were sold?

• 150 regular seats and 50 VIP seats

• 100 regular seats and 100 VIP seats

• 180 regular seats and 20 VIP seats

• 160 regular seats and 40 VIP seats

In a fruit market, apples cost $2 each and oranges cost $3 each. If a customer buys a total of 15 fruits and spends $36, how many apples and oranges did they buy?

• 8 apples and 7 oranges

• 10 apples and 5 oranges

• 7 apples and 8 oranges

• 9 apples and 6 oranges

A gym offers two types of memberships: a monthly membership for $30 and a yearly membership for $300. If a total of 50 memberships were sold for $1,200, how many of each type were sold?

• 25 monthly memberships and 25 yearly memberships

• 20 monthly memberships and 30 yearly memberships

• 10 monthly memberships and 40 yearly memberships

• 15 monthly memberships and 35 yearly memberships

A local bakery sells cupcakes for $2 each and cookies for $1 each. If they sold a total of 100 items and made $150, how many cupcakes and cookies did they sell?

• 30 cupcakes and 70 cookies

• 60 cupcakes and 40 cookies

• 40 cupcakes and 60 cookies

• 50 cupcakes and 50 cookies