Question

Miko and her parents rent boats for the afternoon. Her parents rent a canoe and Miko rents a kayak. • It costs $20.49 to rent a canoe plus an additional $7.49 for each hour. • It costs $17.99 to rent a kayak plus an additional $5.99 for each hour. Miko and her parents rent one canoe and one kayak for the same amount of time, and their total cost for the rentals is $78.92. Write and solve an equation to determine the amount of time, in hours, that they rented the kayak and canoe.

Answer 1

Kayak and Canoe rented for 3 hours

Explanation:

Let the time for which they rent canoe & kayak = x hours

Total canoe cost = 20.49 + 7.49x , Total kayak cost = 17.99 + 5.99x

Given] Total canoe & kayak cost = 78.92

So, (20.49 + 7.49x) + (17.99 + 5.99x) = 78.92

20.49 + 17.99 + 7.49x + 5.99x = 78.92 ; 38.48 + 13.48x = 78.92

13.48x = 78.92 - 38.48 ; 13.48x = 40.44

x = 40.44 / 13.48 ; x = 3

3 hours