Question

Two beach rental companies compared their sales from last weekend. Both companies rent out jet skis and kayaks, and they charge the same prices. Will's Watersports made a total of $780 from renting 12 jet skis and 9 kayaks. Family Fun Rentals made a total of $570 from renting 7 jet skis and 11 kayaks. What is the cost of each type of rental?

Answer 1

Therefore Jet Skis cost $50 for the rental and Kayaks cost $20.

Explanation:

Since they both rent the vehicles at the same price, "x" for jet skis and "y" for kayaks", we can create equations for each store and a system of equations for these, as shown below:

Watersports:

12*x + 9*y = 780

Fun Rentals:

7*x + 11*y = 570

System:

`\left \{ {{12*x + 9*y=780} \atop {7*x + 11*y=570}} \right.`

We can isolate "x" on the first equation:

`x = (780 - 9*y)/(12)`

And use it on the second:

`7*[(780 - 9*y)/(12)] + 11*y = 570\\5460 -63*y = 6840 - 132*y\\132*y - 63*y = 6840 - 5460\\69*y = 1380\\y = 20\\`

We can now use this value to find "x":

`x = (780 - 9*20)/(12) = 50`

Therefore Jet Skis cost $50 for the rental and Kayaks cost $20.