Mathematics
20.07.2021 01:40
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7. A jar black beans and kidney beans has a ratio of 1:4, and 80 of the beans are

7. A jar black beans and kidney beans has a ratio of 1:4, and 80 of the beans are black beans.
How many beans in total are there in the jar?
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DogeDog6954
DogeDog6954
5,0(100 marks)
ย 9

Work Shown:

a = unknown ย = leg #1

b = 12 ย = leg #2

c = 15 = hypotenuse

Plug those values into the pythagorean theorem and solve for 'a'

a^2 + b^2 = c^2

a^2 + (12)^2 = (15)^2 ย  substitution

a^2 + 144 = 225

a^2 = 225 - 144 ย ... subtracting 144 from both sides

a^2 = 81

a = sqrt(81) ย  applying square root to both sides

a = 9

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