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DerKrebs [107]
3 years ago
15

60% of a museum fossils are from the Jurassic period. If the number of fossils from the Jurassic is 15,what’s the total number o

f fossils at the museum
Mathematics
1 answer:
Arlecino [84]3 years ago
8 0
The total number of fossils at the museum is 25. If you divide 15 by 60%, you get 25. To check to see if that makes sense, multiple 25 by 60% and you should get 15. By getting 15, you now have 60% of the total fossils at the museum, proving that the total amount of fossils is 25.
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Answer:

120

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Step-by-step explanation:

We call the length of first part x

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In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.

So,

We have this equation,

x/4 + y/3 = 110

We take the LCM

(3x + 4y)/12 = 110

When we cross multiply

3x + 4y = 110x12

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For scenario 2

x/3 + y/4 = 100

When we take the LCM

(4x + 3y)/12 = 100

We cross multiply

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4x + 3y = 1200 ------ equation 2

We now have two equations and we will solve for x and y using simultaneous linear equation.

3x + 4y = 1320 ----- 1

4x + 3y = 1200 ----- 2

We subtract equation 2 from 1 to get

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We make y subject

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We put the value of y in equation 3 into equation 1

3x + 4(x + 120) = 1320

3x + 4x + 480 = 1320

7x + 480 = 1320

7x = 1320-480

7x = 840

We divide through by 7

x = 840/7

x = 120

We put value of x in equation 3

y = x + 120

y = 120 + 120

y = 240

120 and 240 are the lengths of the 2 parts of the journey.

Thanks

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Step-by-step explanation:

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