Graphing and Solving Two-Variable Word Problems

A school is selling tickets for a concert. Adult tickets cost $15 and student tickets cost $10. If the school sold a total of 200 tickets and made $2,500, how many adult and student tickets were sold?

• 50 adult tickets and 150 student tickets

• 200 adult tickets and 0 student tickets

• 100 adult tickets and 100 student tickets

• 150 adult tickets and 50 student tickets

Maria has a total of $50 to spend on notebooks and pens. Notebooks cost $5 each and pens cost $2 each. If she buys 6 notebooks, how many pens can she buy?

• 10

• 8

• 12

• 15

A farmer has chickens and cows. If there are a total of 30 animals and 82 legs, how many chickens and cows does the farmer have?

• 25 chickens and 5 cows

• 10 chickens and 20 cows

• 15 chickens and 15 cows

• 19 chickens and 11 cows

In a class, the ratio of boys to girls is 3:2. If there are 20 students in total, how many boys and girls are there?

• 15 boys and 5 girls

• 12 boys and 8 girls

• 8 boys and 12 girls

• 10 boys and 10 girls

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50, how many miles did they drive?

• 50 miles

• 75 miles

• 100 miles

• 120 miles

A bookstore sells fiction and non-fiction books. If the total number of books sold is 120 and the total revenue is $1,200, with fiction books priced at $10 and non-fiction at $15, how many of each type of book were sold?

• 100 fiction books and 20 non-fiction books

• 120 fiction books and 0 non-fiction books

• 80 fiction books and 40 non-fiction books

• 60 fiction books and 60 non-fiction books

A gym has two types of memberships: monthly and yearly. A monthly membership costs $30, and a yearly membership costs $300. If the gym has 100 members and makes $2,700 in a month, how many monthly and yearly memberships are there?

• 90 monthly memberships and 10 yearly memberships

• 100 monthly memberships and 0 yearly memberships

• 70 monthly memberships and 30 yearly memberships

• 80 monthly memberships and 20 yearly memberships

A local bakery sells muffins and cookies. If they sold a total of 150 items and made $450, with muffins priced at $3 and cookies at $2, how many muffins and cookies did they sell?

• 60 muffins and 90 cookies

• 120 muffins and 30 cookies

• 80 muffins and 70 cookies

• 100 muffins and 50 cookies

A movie theater has two types of tickets: adult tickets for $12 and child tickets for $8. If they sold a total of 150 tickets and made $1,560, how many adult and child tickets were sold?

• 90 adult tickets and 60 child tickets

• 100 adult tickets and 50 child tickets

• 60 adult tickets and 90 child tickets

• 80 adult tickets and 70 child tickets

A gardener is planting flowers and shrubs. If the total number of plants is 50 and the total cost is $200, with flowers costing $3 each and shrubs costing $5 each, how many flowers and shrubs did the gardener plant?

• 20 flowers and 30 shrubs

• 10 flowers and 40 shrubs

• 25 flowers and 25 shrubs

• 30 flowers and 20 shrubs