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In a primary school, the parents were asked about the number of hours they spend per day in helping their children to do homework.There were 90 parents who helped for   \frac{1}{2}  hour to   1\frac{1}{2}  hours. The distribution of parents according to the time for which they said they helped is given in the adjoining figure; 20% helped for more than  1\frac{1}{2}  hours; 30% helped for \frac{1}{2}  hour to 1\frac{1}{2}  hours; 50 % did not help at all. Using this, answer the following :How many said that they helped for more than  1\frac{1}{2}   hours?

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Let the number of parents surveyed be X.

30% of them helped for for   \frac{1}{2}  hour to 1\frac{1}{2}   hours.

In total, there were 90 such parents.

\therefore 30% of X = 90

\Rightarrow \frac{30}{100}\times X = 90 \\ \Rightarrow X = 90\times100 /30 = 300

Therefore, There were total of 300 parents who were surveyed.

from the first question number of parents surveyed  X = 300

Given, 20% helped for more than   1\frac{1}{2}   hours.

Therefore, number of such parents = 20% of 300 = 2 x 30 = 60.

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HARSH KANKARIA

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