18. A cricket team won 60% of the matches they played. If they had lost 24 matches, find the
total number of matches played by them. What fraction of the matches have they lost?
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Total matches played by the cricket team during the year(n)= 60
Step-by-step explanation:
Let Total matches played by the cricket team during the year = n
Number matches won = 60%
Number matches lost = (100-60)%
= 40%
Now,
According to the problem given,
40% of n = 24
=> 40% × n = 24
\implies \frac{40}{100} \times n = 24 ⟹
100
40
×n=24
\implies n = 24 \times \frac{100}{40}⟹n=24×
40
100
After cancellation, we get
\implies n = 60 ⟹n=60
Therefore,
Total matches played by the cricket team during the year(n)
= 60
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