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gulaghasi [49]
3 years ago
8

When 40% of the girls left the school assembly, the ratio of the number of boys to girls became 3 to 4. If there were w girls wh

en the assembly started, what was the total number of boys and girls when the assembly started?
Mathematics
1 answer:
baherus [9]3 years ago
8 0

Number of girls at the time of the assembly started = w

Number of girls left = 40% of w

=\frac{40}{100}w

=\frac{2}{5}w

Remaining girls = w-\frac{2}{5}w

=\frac{3}{5}w

Now, the ratio of the number of boys to girls became 3 to 4.

Let n be the number of boys.

Then, n:\frac{3}{5} w=3:4

Or, \frac{n}{3w/5}= \frac{3}{4}

\frac{5n}{3w}= \frac{3}{4}

20n = 9w

or, n = \frac{9}{20} w

Total number of boys and girls = \frac{9}{20}w+ \frac{3}{5} w

= \frac{9}{20}w+ \frac{12}{20} w

= = \frac{21}{20}w

Hence, the total number of boys and girs is \frac{21}{20} w.

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