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Question

At a fun-raising event, 60% of the people were male and the rest were female. 20% of the female left the event in the afternoon.
In the evening, after 33 male and 35 female left the event, 75% of the people at the event were male.
a) What percentage of the people left the event in the afternoon ?
b) How many people were there at the start of the fun raising event ?

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Answer

SOS mum wrote:Hi all, ps help. Many tks and God Bless:)
(2) At a fun-raising event, 60% of the people were male and the rest were female. 20% of the female left the event in the afternoon. In the evening, after 33 male and 35 female left the event, 75% of the people at the event were male.
(a) What percentage of the people left the event in the afternoon?
(b) How many people were there at the start of the fun raising event?

At the start, let the total of male and female = 100u

Male: Female
60u : 40u

20% of 40u of female left the party = 8u

a) % of people left = 8u/100u X 100 = 8% ###

b)

Male : Female
60u  : 32u
-33    -35
75p  : 25p

60u – 33 = 75p
32u – 35 = 25p
96u – 105 = 75p

96u – 105 = 60u -33
36u = 72
u = 2

At the start there are 100u = 200 people ###

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(a) M : F
—-6u: 4u
0.2x4u = 0.8u
0.8u/10u X 100 = 8%

(b) M : F
6u-33 : 3.2u-35 (where 3.2u=4u-0.8u)

6u-33 = 0.75[6y-33+3.2u-35]
6u-33 = 0.75[9.2u -68]
6u-33 = 6.9u – 51
0.9u = 18
u= 20

Hence people at the start of event is 10u = 10 x 20 = 200

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