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2015-10-17T09:42:20+08:00

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Let x be the number of eggs in her basket at first.

x + (- 1/10 - 6 + 3) = 24
x + (- 31/10) = 24
x + (- 31/10) + 31/10 = 24 + (31/10)
x = 271/10 

as a mixed number is 27 and 1/10 eggs.

Check:
She broked 1/10 of them
27 1/10 - 1/10 = 27
Gave 6 to her mother
27 - 6 = 21
Put 3 new eggs in basket.
21 + 3 = 24
There, she had 24 eggs. 

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The answer can not be a mixed number 27 and 1/2. Otherwise, the fraction part 1/10 is considered broken egg.
  • Brainly User
2015-10-19T00:04:56+08:00

This Is a Certified Answer

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let the original number of eggs be x.

The number of eggs subtracted from x:
Broken = 1/10 of x
Given to mother = 6
Add them:  x/10 + 6

The number of eggs added to basket: 3 

The eggs left in the basket: 24

Equation:  
x - (x/10 + 6) + 3 = 24
x- x/10- 6 + 3 = 24
x-x/10-3 = 24

LCD: 10.  Multiply each term by 10

(10)x - (10)x/10 - (10)3 = (10) 24
10x -x -30 = 240
9x = 240 + 30
9x = 270
9x/9 = 270/9
x = 30

The number of eggs Beth had at first is 30.

To check:
The eggs subtracted from the basket:
(1/10) of 30 = 3
Eggs given to mother: 6
Total eggs subtracted: 3+6 = 9 eggs

Eggs added:  3
Eggs left:  24

30 - 9 + 3 = 24
21 + 3 = 24
24 = 24

Therefore, Beth had 30 eggs at first.
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