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?
+37146 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
+188 ( 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.
