Arithmetic Sequences Answers

A garden supply store sells two types of lawn mowers.Total sales of mowers for the year were $8379.79. The total number of mowers sold was 30. The small mower costs $249.99. The large mower costs $329.99. Find the number of large mowers sold.

Define variables and write systems of equations for the situation. Solve using substitution.Suppose you want to join a video store. Big video offers a special discount card that costs $9.99 per year. With the discount card, each video rental costs $2.49. A discount card from Main Street Video cost $20.49 per year. With the Main Street Video discount card, each video rental costs $1.79. After how many video rentals is the cost the same?

An ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates. John paid the admission fees for his six nephews and rented five pairs of ice skates. He was charged $32.00. Juanita paid the admission fees for her seven grandchildren and rented five pairs of ice skates. She was charged $35.25. What is the admission fee? What is the rental fee for a pair of skates?

Solve the system by substitution. Check your solution.

Solve the system of equations.y = 7x + 43y = 2x + 13

Solve the system by substitution. Check your solution.

The sum of two numbers is 98. Their difference is 22. Write a system of equations that describes this situation. Solve by elimination to find the two numbers.

Solve the system of equations.y = -5x - 8y = 4x + 1

A family is canoeing downstream (with the current). Their speed relative to the banks of the river averages 2.75 mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relative to the riverbank. Write and solve a system of equations to find the family’s paddling speed in still water. Let s equal the families paddling speed and c represent the current

Solve the system of equations.y = 6x - 27y = 4x - 17