Solving Real-World Problems: Equations and Variables

A farmer has chickens and cows. If the total number of animals is 30 and there are 80 legs in total, how many chickens and how many cows does the farmer have?

• 10 chickens and 20 cows

• 15 chickens and 15 cows

• 25 chickens and 5 cows

• 20 chickens and 10 cows

Two friends, Alex and Jamie, are saving money for a concert. Alex has $20 more than Jamie, and together they have $120. How much money does each friend have?

• Alex has $70, Jamie has $50.

• Alex has $80, Jamie has $60.

• Alex has $50, Jamie has $30.

• Alex has $60, Jamie has $40.

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold 200 tickets for a total of $1500, how many adult and student tickets were sold?

• 150 adult tickets and 50 student tickets

• 50 adult tickets and 150 student tickets

• 200 adult tickets and 0 student tickets

• 100 adult tickets and 100 student tickets

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Another company charges $30 plus $0.25 per mile. How many miles must you drive for the costs to be the same?

• 200 miles

• 300 miles

• 500 miles

• 400 miles

In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many boys and how many girls are in the class?

• 10 boys and 15 girls

• 20 boys and 5 girls

• 15 boys and 10 girls

• 12 boys and 13 girls

A bookstore sells fiction and non-fiction books. If the total number of books is 150 and the fiction books are twice as many as the non-fiction books, how many of each type of book are there?

• Fiction: 80, Non-Fiction: 70

• Fiction: 100, Non-Fiction: 50

• Fiction: 120, Non-Fiction: 30

• Fiction: 60, Non-Fiction: 90

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 $100. After how many months will the costs of both plans be equal?

• 15

• 5

• 10

• 20

A movie theater sells adult and child tickets. Adult tickets are $12 and child tickets are $8. If they sold a total of 100 tickets for $960, how many adult and child tickets were sold?

• 50 adult tickets and 50 child tickets

• 40 adult tickets and 60 child tickets

• 30 adult tickets and 70 child tickets

• 20 adult tickets and 80 child tickets

A gardener is planting flowers and shrubs. If the total number of plants is 50 and the number of flowers is three times the number of shrubs, how many flowers and how many shrubs are there?

• 40 flowers and 5 shrubs

• 20 flowers and 30 shrubs

• 25 flowers and 25 shrubs

• 30 flowers and 10 shrubs

Two types of fruit are being sold at a market: apples and oranges. If the total weight of the fruit is 40 kg and the weight of the apples is 5 kg more than twice the weight of the oranges, how much does each type of fruit weigh?

• Oranges: 20 kg, Apples: 20 kg

• Oranges: 11.67 kg, Apples: 28.33 kg

• Oranges: 15 kg, Apples: 25 kg

• Oranges: 5 kg, Apples: 35 kg