Question 1148874
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Given that the ratio of girls to boys is 3 to 4, one standard way to start on solving the problem is to let the number of girls be 3x and the number of boys be 4x.<br>
Then, since the total number of students is 805,<br>
{{{3x+4x = 805}}}
{{{7x = 805}}}
{{{x = 115}}}<br>
The number of boys is 4x = 460.<br>
An even shorter way to use the given ratio of 3 girls to 4 boys is to translate that into saying that 3/7 of the students are girls and 4/7 of them are boys.  Then the answer is found with a single simple calculation:<br>
number of boys = (4/7)*805 = 4*(805/7) = 4*115 = 460.<br>