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slava [35]
2 years ago
15

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.

__

<h3>used</h3>

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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