# Beth had a certain number of eggs in her basket. She broke 1/10 of them, gave 6 to her mother and put 3 new eggs in her basket. She then had 24 eggs. how many eggs had she at first

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by frezza

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by frezza

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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 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. __

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

x + (- 31/10) = 24

x + (- 31/10) + 31/10 = 24 + (31/10)

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 baske__t: 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__

**T**__otal 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 a__t first.

The number of eggs

Broken = 1/10 of x

Given to mother = 6

Add them: x/10 + 6

The number of eggs

The eggs

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

To check:

The eggs subtracted from the basket:

(1/10) of 30 =

Eggs given to mother:

Eggs added:

30 - 9 + 3 = 24

21 + 3 = 24

24 = 24

Therefore, Beth had