Mastering Systems of Equations: Elimination & Substitution

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 150 tickets for $1,200, how many adult and student tickets were sold?

• 90 adult tickets and 60 student tickets

• 60 adult tickets and 90 student tickets

• 80 adult tickets and 70 student tickets

• 100 adult tickets and 50 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 $20 more than John after a certain number of weeks, how many weeks have they been saving?

• 6

• 8

• 10

• 4

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

• 15 chickens and 15 cows

• 10 chickens and 20 cows

• 20 chickens and 10 cows

• 5 chickens and 25 cows

In a bookstore, the price of a novel is $12 and the price of a magazine is $4. If a customer buys a total of 10 items for $80, how many novels and magazines did they buy?

• 4 novels and 6 magazines

• 3 novels and 7 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?

• 50 miles

• 200 miles

• 150 miles

• 100 miles

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

• Alex has 18 stickers and Jamie has 18 stickers.

• Alex has 30 stickers and Jamie has 6 stickers.

• Alex has 12 stickers and Jamie has 24 stickers.

• Alex has 24 stickers and Jamie has 12 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 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

• 100 regular seats and 100 VIP seats

• 160 regular seats and 40 VIP seats

• 180 regular seats and 20 VIP seats

A bakery sells two types of cookies: chocolate chip and oatmeal. Chocolate chip cookies cost $2 each, and oatmeal cookies cost $1.50 each. If a customer buys a total of 20 cookies for $30, how many of each type did they buy?

• 15 chocolate chip cookies and 5 oatmeal cookies

• 0 chocolate chip cookies and 20 oatmeal cookies

• 5 chocolate chip cookies and 15 oatmeal cookies

• 10 chocolate chip cookies and 10 oatmeal cookies

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

• 7 apples and 8 bananas

• 6 apples and 9 bananas

• 4 apples and 11 bananas

• 5 apples and 10 bananas

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

• 30 monthly and 20 yearly memberships

• 40 monthly and 10 yearly memberships

• 46 monthly and 4 yearly memberships

• 50 monthly and 0 yearly memberships