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?
1 answer:
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>
<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>
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