Mastering Systems: Solve with Substitution & Elimination

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?

• 20 chickens and 10 cows

• 5 chickens and 25 cows

• 15 chickens and 15 cows

• 10 chickens and 20 cows

Two friends, Alex and Jamie, are collecting stickers. Alex has 5 more stickers than Jamie. Together, they have 35 stickers. How many stickers does each friend have?

• Alex has 25 stickers and Jamie has 10 stickers.

• Alex has 20 stickers and Jamie has 15 stickers.

• Alex has 15 stickers and Jamie has 20 stickers.

• Alex has 30 stickers and Jamie has 5 stickers.

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?

• 35 adult tickets and 15 student tickets

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

In a fruit basket, there are apples and oranges. If there are 20 fruits in total and the number of apples is twice the number of oranges, how many apples and oranges are in the basket?

• 15 apples and 5 oranges

• 10 apples and 10 oranges

• 5 apples and 15 oranges

• 12 apples and 8 oranges

A bookstore sells novels and magazines. If the total number of books is 60 and the total cost is $240, with novels costing $5 each and magazines costing $3 each, how many of each type of book are there?

• 40 novels and 20 magazines

• 10 novels and 50 magazines

• 20 novels and 40 magazines

• 30 novels and 30 magazines

At a concert, adult tickets cost $15 and child tickets cost $10. If 200 tickets were sold for a total of $2,500, how many adult and child tickets were sold?

• 150 adult tickets and 50 child tickets

• 200 adult tickets and 0 child tickets

• 120 adult tickets and 80 child tickets

• 100 adult tickets and 100 child tickets

A pet shop has dogs and cats. If there are 40 pets in total and the number of dogs is 4 more than twice the number of cats, how many dogs and cats are there?

• 12 cats and 28 dogs

• 10 cats and 30 dogs

• 15 cats and 25 dogs

• 20 cats and 20 dogs

In a class, there are boys and girls. If there are 24 students in total and the number of boys is 2 less than three times the number of girls, how many boys and girls are in the class?

• 14 boys and 10 girls

• 16 boys and 6 girls

• 20 boys and 4 girls

• 12 boys and 12 girls

A bakery sells cupcakes and cookies. If the total number of baked goods is 80 and the number of cupcakes is 3 times the number of cookies, how many cupcakes and cookies are there?

• 50 cupcakes and 30 cookies

• 40 cupcakes and 40 cookies

• 70 cupcakes and 10 cookies

• 60 cupcakes and 20 cookies

Two types of plants are in a garden: roses and tulips. If there are 50 plants in total and the number of roses is 10 more than twice the number of tulips, how many roses and tulips are in the garden?

• 30 roses and 20 tulips

• 25 roses and 25 tulips

• 15 roses and 35 tulips

• 40 roses and 10 tulips