Solving Linear Equations: Substitution & Elimination Quiz

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?

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

• 35 adult tickets and 15 student tickets

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

• John has $50 and Maria has $70.

• John has $60 and Maria has $80.

• John has $40 and Maria has $60.

• John has $30 and Maria has $50.

A farmer has chickens and cows. If there are 30 animals in total and the number of chickens is twice the number of cows, how many chickens and cows does the farmer have?

• 12 cows and 18 chickens

• 5 cows and 25 chickens

• 10 cows and 20 chickens

• 15 cows and 15 chickens

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?

• 3 novels and 7 magazines

• 4 novels and 6 magazines

• 5 novels and 5 magazines

• 6 novels and 4 magazines

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70 for their rental, how many miles did they drive?

• 100 miles

• 50 miles

• 200 miles

• 150 miles

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

• Alex has 20 stickers and Jamie has 25 stickers.

• Alex has 25 stickers and Jamie has 20 stickers.

• Alex has 30 stickers and Jamie has 15 stickers.

• Alex has 10 stickers and Jamie has 35 stickers.

A concert hall has two types of seating: regular seats and VIP seats. Regular seats cost $30 and VIP seats cost $50. If 200 seats were sold for a total of $8000, how many of each type of seat were sold?

• 50 regular seats and 150 VIP seats

• 150 regular seats and 50 VIP seats

• 100 regular seats and 100 VIP seats

• 200 regular seats and 0 VIP seats

A bakery sells cupcakes and cookies. Each cupcake costs $2 and each cookie costs $1. If a customer buys a total of 30 items for $50, how many cupcakes and cookies did they buy?

• 25 cupcakes and 5 cookies

• 15 cupcakes and 15 cookies

• 10 cupcakes and 20 cookies

• 20 cupcakes and 10 cookies

In a gym, the membership fee is $40 per month, and personal training sessions cost $20 each. If a member spent a total of $160 in one month, how many training sessions did they purchase?

• 10

• 8

• 4

• 6

A gardener is planting flowers and shrubs. Each flower costs $3 and each shrub costs $5. If the gardener bought a total of 20 plants for $60, how many flowers and shrubs did they buy?

• 10 flowers and 10 shrubs

• 15 flowers and 5 shrubs

• 20 flowers and 0 shrubs

• 5 flowers and 15 shrubs