8th Grade Quiz: Solving Systems with Substitution Skills

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?

• 10 adult tickets and 20 student tickets

• 20 adult tickets and 10 student tickets

• 5 adult tickets and 25 student tickets

• 15 adult tickets and 15 student tickets

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

• 20 dimes and 30 quarters

• 15 dimes and 35 quarters

• 30 dimes and 20 quarters

• 26 dimes and 24 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 class, the number of boys is twice the number of girls. If there are 36 students in total, how many boys and girls are in the class?

• 12 girls and 24 boys

• 30 girls and 6 boys

• 24 girls and 12 boys

• 18 girls and 18 boys

A store sells two types of bicycles: mountain bikes for $200 and road bikes for $150. If a customer buys a total of 10 bikes and spends $1,650, how many of each type of bike did they buy?

• 5 mountain bikes and 5 road bikes

• 2 mountain bikes and 8 road bikes

• 4 mountain bikes and 6 road bikes

• 3 mountain bikes and 7 road bikes

A recipe requires 3 cups of flour and 2 cups of sugar. If you want to make a batch that uses 10 cups of flour, how much sugar will you need?

• 6.67 cups of sugar

• 8 cups of sugar

• 4 cups of sugar

• 5 cups of sugar

Two friends, Alex and Jamie, are collecting stamps. Alex has 5 more stamps than Jamie. If together they have 45 stamps, how many stamps does each friend have?

• Alex has 10 stamps and Jamie has 35 stamps.

• Alex has 25 stamps and Jamie has 20 stamps.

• Alex has 20 stamps and Jamie has 25 stamps.

• Alex has 30 stamps and Jamie has 15 stamps.

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?

• 50 miles

• 75 miles

• 120 miles

• 100 miles

In a fruit basket, there are apples and bananas. If there are 12 fruits in total and the number of apples is 4 more than the number of bananas, how many apples and bananas are in the basket?

• 6 apples and 6 bananas

• 10 apples and 2 bananas

• 5 apples and 7 bananas

• 8 apples and 4 bananas

A concert hall has two types of seating: regular seats for $25 and VIP seats for $50. If 100 seats were sold for a total of $3,000, how many regular and VIP seats were sold?

• 90 regular seats and 10 VIP seats

• 80 regular seats and 20 VIP seats

• 70 regular seats and 30 VIP seats

• 60 regular seats and 40 VIP seats