Question

In a class of 42 students,the numbet of boys is 2/5 of the girls. Find the number of boys and girls​

Answer 1

Step-by-step explanation:

$(1) B+G=42 \\ (2) B=25×G \\ Replacing B by (2) we get: \\ \frac{2}{5} ×G+G=1 \frac{2}{5} ×G=42 \\ Turning 1 \frac{2}{5}  into a non-mixed \\ fraction: \\ \frac{7}{5} ×G=42→ multiply by 5, divide by 7: \\ G=42× \frac{5}{7} = \frac{6 \times 7 \times 5}{7} =30 \\ B= \frac{2}{5} ×30= \frac{2}{5} ×5×6=12 \\ and these add up to 42. </p><p></p><p>$

Answer 2

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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