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There are white, blue, and red boats in a marina. Five-sixths of the boats in the marina are white, 2/5 of the remaining boats are blue, and the rest are red. If there are 12 red boats, how many boats are in the marina?

Apr 4, 2020

#1
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5/6white    +    2/5(1/6)blue   =   25/30  + 2/30 = 27 /30  are blue or white       3/ 30 are red    and = 12

3/30   x    = 12       x = 120 boats in the marina

Apr 4, 2020
edited by Guest  Apr 4, 2020
#2
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( 1 / 6 ) * ( 2 / 5 ) = 1 / 15. This means that 1 / 15 of the boats in the marina are blue.

To get the fraction of the number of red boats in the marina, we can do 1 - ( 1 / 15 ) - ( 5 / 6 ).

1 - ( 1 / 15 ) - ( 5 / 6 ) = 1 / 10, so we know that 1 / 10 of the boats in the marina are red.

Now we know that there are 12 red boats in total, and red boats make up 1 / 10 of all the boats in the marina. All you have to do next is multiply 12 * 10, and you'll get the answer to how many boats are in the marina.

Good luck, and I hope this helps.

Apr 4, 2020