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Naddika [18.5K]
1 year ago
10

The ratio of the number of picture books encyclopedias, and fairy tale books Annette had is 3:4:5 She have half of her encyclope

dias to her brother and he gave her 5 books of fairytales Now she has 14 more books of fairy tales than encyclopedias How many picture books does she have
Mathematics
1 answer:
Flura [38]1 year ago
5 0

The number of picture books does Annette have is 76 books.

Given the ratio of picture books , encyclopedias and fairy tales books is 3:4:5 and she have half of her encyclopedias to her brother and  he gave her 5 books of fairytales

We need to find the number of picture books does she have

According to the statement the total number of books does Annette have is

3k+4k+5k = 12k

Where k is total number of books

Now , Picture book she have = 3/12k = 1/4k

Encyclopedia she have = 4/12k = 1/3k

Fairy tale she have = 5/12k

Here,

Encyclopedia +14 = Fairy tale

Substituting the values of Encyclopedia and Fairy tale

(1/3 -1/2)k +14 = (5/12k -5 )

Therefore.

(1/6k+14) = (5k/12-5)

Therefore,

14+5 = 5k/12 - k/6

Therefore,

19 = 3k/12

19*4=k

76 = k

Here k = 76 books

Hence the total number of picture books does she have is 76

Learn more about ratio here

brainly.com/question/2328454

#SPJ10

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