Question

A small marina rents kayaks and canoes. Jim is taking a youth group on a trip down the river, and rents a total of 30 kayaks and canoes to hold 84 people. The kayaks carry 2 people each, and the canoes carry 4 people each. Jim concludes that he has 10 kayaks.

Which statement describes the accuracy of Jim's conclusion?

It is correct because he has 10 kayaks and 20 canoes.

It is incorrect because he has 12 kayaks and 18 canoes.

It is incorrect because he has 18 kayaks and 12 canoes.

It is incorrect because he has 20 kayaks and 10 canoes.

Answer 1

hmmm what's the total of Kayaks and Canoes anyway?

Answer 2

-This has to do with solving word problems involving systems of equations

Answer 3

Hello and Welcome to OpenStudy! :)

The idea behind this is a "system of equations"

Where you have one equation to describe the total number of kayaks and canoes
and another equations to describe the number of people in relation to the kayaks and canoes.

the first equation (to describe the total number of kayaks and canoes)
would be (number of kayaks) + (number of canoes) = 30

the second equation (to describe the number of people in relation to the kayaks and canoes)
would be (how many people fit in a kayak)times(number of kayaks) + (how many people fit in a canoe)times(number of canoes) = 84

Does this ^ make sense so far? :)

Answer 4

Yes it does :)

Answer 5

we can exchange all the stuff I put in parenthesis for letters/variables

Answer 6

Do you have an idea of what we would get if we tried that? :)

Answer 7

Oooooo I get it now omg thank you so much! :)

Answer 8

Glad I could help! :)

If you get stuck, just get my attention by tagging me with @jigglypuff314
^_^

Answer 9

Okay, I will :)