Solving Systems of Equations: Substitution & Elimination

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?

• 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 new bike. Maria saves $5 each week, while John saves $8 each week. If Maria has saved $20 less than John after a certain number of weeks, how much have they each saved?

• Maria has saved approximately $33.33, and John has saved approximately $53.33.

• Maria has saved $40, and John has saved $60.

• Maria has saved $15, and John has saved $35.

• Maria has saved $25, and John has saved $45.

A farmer has chickens and cows. If the total number of animals is 30 and the total number of legs is 100, how many chickens and cows does the farmer have?

• 5 chickens and 25 cows

• 15 chickens and 15 cows

• 10 chickens and 20 cows

• 20 chickens and 10 cows

In a class, the ratio of boys to girls is 3:2. If there are 20 students in total, how many boys and girls are there?

• 12 boys and 8 girls

• 8 boys and 12 girls

• 15 boys and 5 girls

• 10 boys and 10 girls

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 12 items and spends $7.00, how many pencils and erasers did they buy?

• 8 pencils and 4 erasers

• 10 pencils and 2 erasers

• 12 pencils and 0 erasers

• 6 pencils and 6 erasers

Two friends, Alex and Jamie, are collecting stickers. Alex has twice as many stickers as Jamie. If together they have 36 stickers, how many stickers does each friend have?

• Alex has 20 stickers, Jamie has 16 stickers.

• Alex has 24 stickers, Jamie has 12 stickers.

• Alex has 30 stickers, Jamie has 6 stickers.

• Alex has 18 stickers, Jamie has 18 stickers.

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

• 100 miles

• 120 miles

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

• 2 cups of flour and 10 cups of sugar

• 6 cups of flour and 6 cups of sugar

• 3 cups of flour and 9 cups of sugar

• 4.8 cups of flour and 7.2 cups of sugar

In a fruit basket, there are apples and oranges. If there are 5 more apples than oranges and the total number of fruits is 25, how many apples and oranges are in the basket?

• 15 apples and 10 oranges

• 10 apples and 15 oranges

• 20 apples and 5 oranges

• 12 apples and 13 oranges

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

• 100 regular seats and 100 VIP seats

• 160 regular seats and 40 VIP seats

• 150 regular seats and 50 VIP seats

• 180 regular seats and 20 VIP seats