Applying Linear Equations in Real-Life Scenarios

A farmer has two types of crops: corn and wheat. The table below shows the number of acres planted and the total yield in bushels. If the total yield is 500 bushels, how many acres of each crop did the farmer plant? | Crop | Acres | Yield (bushels) | |-------|-------|-----------------| | Corn | x | 150x | | Wheat | y | 200y |

• Corn: 1 acre, Wheat: 2 acres

• Corn: 0.5 acres, Wheat: 2 acres

• Corn: 2 acres, Wheat: 1.5 acres

• Corn: 0 acres, Wheat: 2.5 acres

A school is selling tickets for a play. The table below shows the number of tickets sold and the total revenue. If the total revenue is $600, how many adult and student tickets were sold? | Ticket Type | Number Sold | Price per Ticket | |-------------|-------------|------------------| | Adult | x | $15 | | Student | y | $10 |

• 10 adult tickets and 50 student tickets were sold.

• 20 adult tickets and 30 student tickets were sold.

• 15 adult tickets and 45 student tickets were sold.

• 25 adult tickets and 20 student tickets were sold.

A bookstore sells two types of books: fiction and non-fiction. The table below shows the number of books sold and the total sales. If the total sales amount to $240, how many of each type of book were sold? | Book Type | Number Sold | Price per Book | |---------------|-------------|-----------------| | Fiction | x | $12 | | Non-Fiction | y | $8 |

• Fiction: 15, Non-Fiction: 10

• Fiction: 12, Non-Fiction: 12

• Fiction: 5, Non-Fiction: 20

• Fiction: 10, Non-Fiction: 15

A gym offers two types of memberships: monthly and yearly. The table below shows the number of memberships sold and the total income. If the total income is $1,200, how many of each type of membership were sold? | Membership Type | Number Sold | Price | |-----------------|-------------|------------------| | Monthly | x | $30 | | Yearly | y | $300 |

• 15 monthly memberships and 0 yearly memberships

• 5 monthly memberships and 10 yearly memberships

• 0 monthly memberships and 4 yearly memberships

• 10 monthly memberships and 3 yearly memberships

A concert venue has two types of seating: general admission and VIP. The table below shows the number of tickets sold and the total revenue. If the total revenue is $1,500, how many general admission and VIP tickets were sold? | Ticket Type | Number Sold | Price per Ticket | |---------------------|-------------|------------------| | General Admission | x | $50 | | VIP | y | $100 |

• (0 general admission, 15 VIP) or (30 general admission, 0 VIP)

• (5 general admission, 10 VIP)

• (20 general admission, 5 VIP)

• (10 general admission, 5 VIP)

A bakery sells two types of pastries: muffins and croissants. The table below shows the number of each type sold and the total sales. If the total sales amount to $180, how many muffins and croissants were sold? | Pastry Type | Number Sold | Price per Pastry | |-------------|-------------|-------------------| | Muffins | x | $6 | | Croissants | y | $9 |

• 15 muffins, 15 croissants

• 10 muffins, 20 croissants

• (30 muffins, 0 croissants), (24 muffins, 6 croissants), (18 muffins, 12 croissants), (12 muffins, 18 croissants), (6 muffins, 24 croissants)

• 20 muffins, 10 croissants

A car rental company has two types of cars: economy and luxury. The table below shows the number of each type rented and the total revenue. If the total revenue is $2,000, how many economy and luxury cars were rented? | Car Type | Number Rented | Price per Day | |------------|---------------|----------------| | Economy | x | $40 | | Luxury | y | $100 |

• (50, 0), (25, 10), (0, 20)

• (10, 15)

• (30, 8)

• (40, 5)

A charity is selling two types of items: T-shirts and mugs. The table below shows the number of each item sold and the total amount raised. If the total amount raised is $450, how many T-shirts and mugs were sold? | Item Type | Number Sold | Price per Item | |-----------|-------------|-----------------| | T-shirts | x | $15 | | Mugs | y | $10 |

• 20 T-shirts and 15 mugs

• 30 T-shirts and 5 mugs

• 15 T-shirts and 20 mugs

• 25 T-shirts and 10 mugs

A pet store sells two types of pets: dogs and cats. The table below shows the number of each type sold and the total sales. If the total sales amount to $1,800, how many dogs and cats were sold? | Pet Type | Number Sold | Price per Pet | |----------|-------------|----------------| | Dogs | x | $300 | | Cats | y | $150 |

• Dogs: 4, Cats: 8

• Dogs: 6, Cats: 0

• Dogs: 0, Cats: 12

• Dogs: 3, Cats: 6

A local restaurant offers two types of meals: vegetarian and non-vegetarian. The table below shows the number of meals sold and the total revenue. If the total revenue is $900, how many vegetarian and non-vegetarian meals were sold? | Meal Type | Number Sold | Price per Meal | |-------------------|-------------|-----------------| | Vegetarian | x | $20 | | Non-Vegetarian | y | $30 |

• 10 vegetarian meals, 20 non-vegetarian meals

• (15 vegetarian meals, 27 non-vegetarian meals)

• 20 vegetarian meals, 15 non-vegetarian meals

• 5 vegetarian meals, 30 non-vegetarian meals