300 oranges are distributed equally among …
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Sia ? 6 years, 4 months ago
Let the number of students be x, then
{tex}\frac { 300 } { x } - \frac { 300 } { ( x + 10 ) } = 1 \Rightarrow \frac { 1 } { x } - \frac { 1 } { ( x + 10 ) } = \frac { 1 } { 300 }{/tex}
{tex}\Rightarrow \frac { x + 10 - x } { x ( x + 10 ) } = \frac { 1 } { 300 }{/tex}
{tex}\Rightarrow{/tex} x(x + 10) = 3000
{tex}\Rightarrow{/tex} x2 + 10x - 3000 = 0
{tex}\Rightarrow{/tex} x2 + 60x - 50x - 3000 = 0
{tex}\Rightarrow{/tex} x(x + 60) - 50(x + 60) = 0
{tex}\Rightarrow{/tex} x + 60 = 0 or x - 50 = 0
{tex}\Rightarrow{/tex} x = -60 or x = 50
x = 50 {{tex}\because{/tex} number of students cannot be negative}
Hence the number of students is 50.
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