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2 years ago

Yuan has 5 quarts of broth. He uses 1/2 of the broth to make soup. Then, he uses 1/4 of the broth he has left to make gravy.

Mathematics

1 answer:

vovangra [49]2 years ago

7 0

Answer:

1 7/8 quarts

Step-by-step explanation:

The amount Yuan has left can be found by multiplying the original amount by the fraction he has left.

After using 1/2 of the broth for soup, the fraction remaining is ...

1 -1/2 = 1/2

The amount Yuan used for gravy is 1/4 of this, or ...

(1/4)(1/2) = 1/8 . . . of the original amount of broth

The total fraction Yuan used was ...

fraction used = fraction for soup + fraction for broth = 1/2 +1/8 = 5/8

<h3>remaining</h3>

Then the fraction remaining is ...

fraction remaining = 1 - fraction used = 1 - 5/8 = 3/8.

The amount remaining is this fraction of the original amount:

(3/8)(5 quarts) = 15/8 quarts = 1 7/8 quarts . . . . remaining

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Answer:

$\frac{1}{4}$

Step-by-step explanation:

A single die is rolled twice, we have to find the probability of rolling an odd number in first throw and a number greater than 3 in the second throw.

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Probability of rolling an odd number the first time and a number greater than 3 the second time = $\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$

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Step-by-step explanation:

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