SOLUTION: A business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $15 per day. A bicycle rents for $20 per day. On a certain day, the owner of the bu

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $15 per day. A bicycle rents for $20 per day. On a certain day, the owner of the bu      Log On


   

Question 980705: A business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $15 per day. A bicycle rents for $20 per day. On a certain day, the owner of the business has 25 rentals and takes in $450. Write a system of equation to represent this situation, then solve the system of equations to find the number of each item rented.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
S=number of skate rentals; B=number of bike rentals
.
S+B=25
B=25-S Use this to substitute for B.
.
$15S+$20B=$450 Substitute for B from above.
$15S+$20(25-S)=$450
$15S+$500-$20S=$450
$500-$5S=$450 Add $5S to each side.
$500=$450+$5S Subtract $450 from each side.
$50=$5S Divide each side by $5.
10=S ANSWER 1: There were 10 skate rentals.
.
B=25-S=25-10=15 ANSWER 2: There were 15 bicycle rentals.
.
CHECK:
$15S+$20B=$450
$15(10)+$20(15)=$450
$150+$300=$450
$450=$450