Steve purchased $61.50 worth of supplies for a hiking trip. The supplies included flashlights for $3.50 each, compasses for $1.50 each, and water bottles for $0.75 each.
a. Write a linear equation in three variables to represent this situation.
b. Steve purchased 6 flashlights and 24 water bottles. How many compasses did he purchase?

Question

Steve purchased $61.50 worth of supplies for a hiking trip. The supplies included flashlights for $3.50 each, compasses for $1.50 each, and water bottles for $0.75 each. 
a. Write a linear equation in three variables to represent this situation. 
b. Steve purchased 6 flashlights and 24 water bottles. How many compasses did he purchase?

anonymous · Answer

Let the amount of flashlights, compasses and water bottles he bought be x, y and z respectively.

3.5x + 1.5y + 0.75z = 61.50