Mastering 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 tickets were sold?

• 25

• 35

• 20

• 30

Maria and John are saving money for a concert. Maria has $20 more than John. Together, they have $100. How much money does John have?

• 60

• 40

• 30

• 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 cows are there?

• 20

• 5

• 15

• 10

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 did they buy?

• 3

• 7

• 2

• 5

Two friends, Alex and Sam, are collecting stamps. Alex has 5 more stamps than Sam. Together, they have 45 stamps. How many stamps does Sam have?

• 30

• 15

• 25

• 20

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

• 100 miles

• 200 miles

• 150 miles

• 50 miles

A local gym offers two membership plans. Plan A costs $30 per month and Plan B costs $20 per month plus a one-time fee of $60. If a customer paid $120, which plan did they choose?

• Neither plan was chosen

• Both Plan A and Plan B could be chosen.

• Plan B only

• Plan A only

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer bought a total of 15 fruits for $25, how many apples did they buy?

• 10

• 5

• 8

• 12

A movie theater has two types of seats: regular and VIP. Regular seats cost $8 and VIP seats cost $12. If a total of 100 seats were sold for $960, how many VIP seats were sold?

• 30

• 50

• 40

• 20

A gardener is planting flowers and shrubs. If the number of flowers is three times the number of shrubs and they planted a total of 32 plants, how many shrubs did they plant?

• 6

• 10

• 12

• 8