Solving Systems: Parallel Lines and Equations Challenge

A bakery sells cookies and muffins. The cost of 3 cookies and 2 muffins is $5, while the cost of 4 cookies and 3 muffins is $7. How much does one cookie (x) cost?

• $3.50

• $2

• $0.50

• 1

Two friends are jogging on parallel paths. One jogger runs at a speed of 4 mph, and the other runs at 6 mph. If they start at the same time, how far apart will they be after 2 hours?

• 2 miles

• 8 miles

• 10 miles

• 4 miles

A car rental company charges a flat fee of $20 plus $0.50 per mile driven. Another company charges a flat fee of $15 plus $0.75 per mile. How many miles (x) must you drive for both companies to charge the same amount?

• 15

• 20

• 25

• 30

A school is planning a field trip. The cost for 5 students and 2 adults is $60, while the cost for 3 students and 4 adults is $70. How much does one adult (y) cost?

• 15

• 25

• 20

• 30

A farmer has two types of crops: corn and wheat. He sells corn for $3 per bushel and wheat for $2 per bushel. If he sells a total of 10 bushels for $24, how many bushels of corn (x) did he sell?

• 4

• 2

• 6

• 8

Two lines are represented by the equations y = 2x + 3 and y = 2x - 1. Are these lines parallel, and if so, what does that mean for their intersection points?

• No, the lines are not parallel and intersect at two points.

• Yes, the lines are parallel and intersect at every point.

• Yes, the lines are parallel and intersect at one point.

• Yes, the lines are parallel and do not intersect.

A concert hall has two types of tickets: regular tickets for $50 and VIP tickets for $100. If the total revenue from selling 30 tickets is $2500, how many regular tickets (x) were sold?

• 10

• 15

• 20

• 5

A store sells two types of bicycles: mountain bikes for $200 and road bikes for $150. If the total sales from 15 bikes is $2700, how many mountain bikes (x) were sold?

• 6

• 12

• 10

• 9

A train travels at a speed of 60 mph, while a car travels at 75 mph. If they both leave the same station at the same time, how far apart (y) will they be after 1.5 hours?

• 30 miles

• 15 miles

• 45 miles

• 22.5 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. After how many months (x) will both plans cost the same?

• 10

• 4

• 6

• 8