In a class of 42 students,the numbet of boys is 2/5 of the girls. Find the number of boys and girls
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In a class of 42 students,the numbet of boys is 2/5 of the girls. Find the number of boys and girls
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Step-by-step explanation:
[tex](1) B+G=42 \\ (2) B=25×G \\ Replacing B by (2) we get: \\ \frac{2}{5} ×G+G=1 \frac{2}{5} ×G=42 \\ Turning 1 \frac{2}{5} into a non-mixed \\ fraction: \\ \frac{7}{5} ×G=42→ multiply by 5, divide by 7: \\ G=42× \frac{5}{7} = \frac{6 \times 7 \times 5}{7} =30 \\ B= \frac{2}{5} ×30= \frac{2}{5} ×5×6=12 \\ and these add up to 42.
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Answer:
Let the no. of girls be X
and no. of boys =2/5 of X
=2/5×X
=2X/5
Step-by-step explanation:
no. of girls +no. of boys =42
X+2x/5=42
5X+2X/5=42
7X/5=42
X=42×5/7
X=30
Hence,
no. of girls =X
=30
no.of boys=2/5of X
=2/5×30
=2×6
=12
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