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pishuonlain [190]
1 year ago
5

In a library, the ratio of maths books to science books is 3 : 2 and the ratio of science books to history books is 1 : 3. If th

e total number of books is 220, how many maths books are there?
Mathematics
1 answer:
trapecia [35]1 year ago
6 0

Answer:

60 maths books

Step-by-step explanation:

<u>Let the following be:</u>

  • Maths books = m
  • Science books = s
  • History books = h

<u>And we have ratios and sum:</u>

  • m/s = 3/2
  • s/h = 1/3
  • m+s+h = 220

<u>From the ratios we get:</u>

  • m = 3s/2
  • h= 3s

<u>Considering the above in the sum of books:</u>

  • m+s+h = 220
  • 3s/2 + s + 3s = 220
  • 3s + 2s + 6s = 2*220
  • 11s = 440
  • s = 440/11
  • s = 40

<u>Number of maths books:</u>

  • m = 3s/2 = 3*40/2 = 60
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