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algol [13]
3 years ago
7

I'm on a test!!! Need help now!!!!

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0

Answer:84 boats

Step-by-step explanation:3/4 of all boats in the marina are white. Therefore, the remaining 1/4 of boats are not white. From the 1/4 of non-white boats, 4/7 of them are blue. That means that 3/7 of the 1/4 non-white boats are red. We know that summing up all fractions of boat colors should give us a value of 1, shown below.

fraction of white boats + fraction of blue boats + fraction of red boats = 1

3/4 + 1/4(4/7) + 1/4(3/7) = 1

The fraction of red boats out of all boats is 1/4(3/7) or 3/28.

If we let the variable T = total number of boats and R = number of red boats, the number of red boats over total should equal the fraction of red boats, R/T = 3/28.

Plugging in R = 9, we can solve for the total number of boats in the marina.

R/T = 3/28

9/T = 3/28

9 = 3T/28

9*28/3 = T

T = 84

There are 84 boats in the marina.

i hope i have helped u and have a wonderful night

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