In a library, the ratio of number of story books to that of non-story books was 4 : 3 and the total number of story books was 1248. When some more story books were bought, the ratio became 5 : 3. Find the number of story books bought.
Answers
Answer
story books /non story books = 4/3
∴ non story books =3/4×story books = 3/4×1248=936
M story books add in 1248= 1248+M
story books /non story books =5/3
1248+M/936=5/3
1248+m=1560
M=312
The number of story books bought is 312.
Given:
The total number of story books in a library is 1248 when the ratio of the number of story books to that of non-story books was 4 : 3.
To Find:
The number of story books bought.
Solution:
The given ratio of the number of story books to that of non-story books was 4 : 3 when the total number of story books in a library is 1248.
Let 4x be the total number of storybooks.
⇒ 4x = 1248
⇒ x = 1248/4 = 312
The number of non-story books = 3x = 3 * 312 = 936
When some more story books were bought the ratio becomes 5:3
Let y no of storybooks added to the library
⇒ (1248+ y) / 936 = 5 /3
⇒ 1248+y = (5*936)/3
⇒ 1248 +y = 1560
⇒ y = 1560 - 1248
⇒ y = 312
∴ 312 more books were bought and added to the library.
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