Question

Jose rents a bike for $4 plus

$2.50 per hour. Elaine rents a
moped for $10 plus $1 per
hour. Write and solve the
system of equations to
determine at what point they
spend the same amount.

Answer 1

They spend the same amount after 4 hours

Answer 2

4 hours

Explanation:

• Step One: Define Variables -

Let x be the # of hours spent using the vehicles

• Step Two: Make Equations -

Jose: 4 + 2.5x

Elaine: 10 + x

• Step Three: Solve -

If they spend the same amount then that means:

Elaine's price = Jose's price, therefore:

4 + 2.5x = 10 + x

1.5x = 6

x = 4

At 4 hours, both prices are the same.