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# If john makes a contribution to a charity fund at school, th

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If john makes a contribution to a charity fund at school, th [#permalink]  22 Jan 2010, 10:16
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63% (02:09) correct 37% (01:12) wrong based on 185 sessions
If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per person. If there were 5 other contributions made before john's, what is the size of his donation? A.$100
B. $150 C.$200
D. $250 E.$450
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Re: 700-800 level problem Statistics [#permalink]  22 Jan 2010, 10:20
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Cavg = average contribution before John

Cavg*1.5 = 75, therefore the average cont is $50 before John. If he needs to increase the average contribution by$25, he must put in $25 for each of the 5 people. so$125.
But, he also has to put in the average for himself (the sixth person), so add $75. So$200 is your answer.
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Re: 700-800 level problem Statistics [#permalink]  22 Jan 2010, 10:33
3
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yes 200 is the ans.

final avg = 75 = 1.5 of old

i.e old avg = 50 = total of five/5

total of five = 250

new avg = 75 = total of six/6

total of 6 = 450

so John's contribution = 450-250 =200
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Re: 700-800 level problem Statistics [#permalink]  22 Jan 2010, 10:35
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GMAT10 wrote:
If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per person.If there were 5 other contributions made before john's,what is the size of his donation? a)$100
b)$150 c)$200
d)$250 e)$450

Let $$a$$ be the average contribution size before John makes his contribution.
Let $$c$$ be the total contribution size before John makes his contribution.
Let $$x$$ be John's contribution.

$$1.5a=75$$ --> $$a=50$$

$$a=50=\frac{c}{5}$$ --> $$c=250$$

$$\frac{c+x}{6}=75$$ --> $$\frac{250+x}{6}=75$$ --> $$x=200$$

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Re: If john makes a contribution to a charity fund at school, th [#permalink]  23 Sep 2013, 23:30
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Re: If john makes a contribution to a charity fund at school, th   [#permalink] 23 Sep 2013, 23:30
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