Mastering Systems of Equations: Substitution & Elimination

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 10 items and spends $6.00, how many pencils and erasers did the student buy?

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

Two friends, Alex and Jamie, are collecting stickers. Alex has 3 times as many stickers as Jamie. Together, they have 48 stickers. How many stickers does each friend have?

• Alex has 40 stickers and Jamie has 8 stickers.

• Alex has 24 stickers and Jamie has 8 stickers.

• Alex has 36 stickers and Jamie has 12 stickers.

• Alex has 30 stickers and Jamie has 18 stickers.

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?

• 12 chickens and 8 cows

• 5 chickens and 15 cows

• 15 chickens and 5 cows

• 10 chickens and 10 cows

A school is selling tickets for a play. Adult tickets cost $8 and student tickets cost $5. If they sold a total of 100 tickets for $680, how many adult and student tickets were sold?

• 60 adult tickets and 40 student tickets

• 50 adult tickets and 50 student tickets

• 70 adult tickets and 30 student tickets

• 80 adult tickets and 20 student tickets

In a class, the number of boys is twice the number of girls. If there are 30 students in total, how many boys and girls are there?

• 15 boys and 15 girls

• 25 boys and 5 girls

• 20 boys and 10 girls

• 10 boys and 20 girls

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer paid $50, how many miles did they drive?

• 100 miles

• 200 miles

• 150 miles

• 250 miles

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 much sugar will you need?

• 6 cups of sugar

• 12 cups of sugar

• 18 cups of sugar

• 24 cups of sugar

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 revenue from 200 seats sold is $12,000, how many of each type of seat were sold?

• 150 regular seats and 50 VIP seats

• 160 regular seats and 40 VIP seats

• 100 regular seats and 100 VIP seats

• 180 regular seats and 20 VIP seats

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 15 items and spends $120, how many novels and magazines did they buy?

• 7 novels and 8 magazines

• 5 novels and 10 magazines

• 4 novels and 11 magazines

• 6 novels and 9 magazines

In a fruit basket, there are apples and oranges. If there are 5 more apples than oranges and the total number of fruits is 35, how many apples and oranges are in the basket?

• 20 oranges and 15 apples

• 10 oranges and 25 apples

• 15 oranges and 20 apples

• 5 oranges and 30 apples