The number of boys and girls in a class are in the ratio \(7:5\). The number of boys is \(8\) more than the number of girls. What is the total class strength?
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The number of boys and girls in a class are in the ratio \(7:5\). The number of boys is \(8\) more than the number of girls. What is the total class strength?
Answer
\(48\)
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Solution
Ratio of boys and girls in a class are is \(7:5\).
Let the number of boys be \(7x\) and girls be \(5x\).
According to the question,
\(7x=5x+8\)
Shifting \(5x\) to L.H.S.:
\(\Rightarrow 7x -5x=8\)
\(\Rightarrow 2x=8\)
Dividing by \(2\) on both sides:
\(\Rightarrow x =\dfrac{8}{2}\)
\(\Rightarrow x=4 \)
\(\therefore\),Number of boys \(=\ 7x\ =\ 7 \times 4\ =\ 28\)
And, Number of girls \(=\ 5x\ =\ 5 \times 4\ =\ 20\)
Total number of students \(=\ 20+28\ =\ 48\)
Let the number of boys be \(7x\) and girls be \(5x\).
According to the question,
\(7x=5x+8\)
Shifting \(5x\) to L.H.S.:
\(\Rightarrow 7x -5x=8\)
\(\Rightarrow 2x=8\)
Dividing by \(2\) on both sides:
\(\Rightarrow x =\dfrac{8}{2}\)
\(\Rightarrow x=4 \)
\(\therefore\),Number of boys \(=\ 7x\ =\ 7 \times 4\ =\ 28\)
And, Number of girls \(=\ 5x\ =\ 5 \times 4\ =\ 20\)
Total number of students \(=\ 20+28\ =\ 48\)
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4.6
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