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Vincent ran 24 laps on monday. this is 66 2/3% of the maximum number of laps he has to run in one day. what is the maximum umber of laps vincent has run in one day?

Verified Answer :

66 2/3% of what is 24...
66.67%x = 24
0.6667x = 24
x = 24 / 0.6667
x = 35.9 rounds to 36 laps

Answer: There are 36 maximum number of laps he has to run in one day.

Step-by-step explanation:

Since we have given that

Number of laps on Monday = 24

Percentage of the maximum number of laps he has to run in one day = \(66\frac{2}{3}\%=\frac{200}{3}\%\)

Let the maximum number of laps be 'x'.

According to question,

\(\frac{200}{3\times 100}\times x=24\\\\\frac{2}{3}\times x=24\\\\x=24\times \frac{3}{2}\\\\x=36\)

Hence, there are 36 maximum number of laps he has to run in one day.