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Each person in a group of 110 investors has investments in e
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29 Apr 2019, 01:48
29 Apr 2019, 01:48
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Question Stats:
68% (02:09) correct
31% (03:02) wrong based on 22 sessions
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Each person in a group of 110 investors has investments in either equities or securities or both. Exactly 25% of the investors in equities have investments in securities, and exactly 40% of the investors in securities have investments in equities. How many have investments in equities?
(A) 65
(B) 80
(C) 120
(D) 135
(E) 150
(A) 65
(B) 80
(C) 120
(D) 135
(E) 150
Re: Each person in a group of 110 investors has investments in e
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16 Apr 2020, 14:50
16 Apr 2020, 14:50
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Total = equities + securities - both
Let’s let s = the number of investors in securities and e = the number of investors in equities. We know that:
0.4s = 0.25e = both; thus:
40s = 25e
8s = 5e
8s/5 = e
Substituting, we have:
Total = equities + securities - both
110 = 8s/5 + s - 0.4s
110 = 8s/5 + s - 2s/5
110 = 6s/5 + s
110 = 11s/5
550 = 11s
50 = s
So e = 8(50)/5 = 400/5 = 80.
Answer: B
Let’s let s = the number of investors in securities and e = the number of investors in equities. We know that:
0.4s = 0.25e = both; thus:
40s = 25e
8s = 5e
8s/5 = e
Substituting, we have:
Total = equities + securities - both
110 = 8s/5 + s - 0.4s
110 = 8s/5 + s - 2s/5
110 = 6s/5 + s
110 = 11s/5
550 = 11s
50 = s
So e = 8(50)/5 = 400/5 = 80.
Answer: B
Re: Each person in a group of 110 investors has investments in e
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12 Apr 2022, 05:56
12 Apr 2022, 05:56
1
Two critical points to solve this question:
1) you have to realize that "25% of the investors in equities have investments in securities" is equal to "40% of the investors in securities have investments".
2) 110 investors is "investors in equity + investors in securities - investors who invested in both"
After that, it´s piece of cake.....
1) you have to realize that "25% of the investors in equities have investments in securities" is equal to "40% of the investors in securities have investments".
2) 110 investors is "investors in equity + investors in securities - investors who invested in both"
After that, it´s piece of cake.....
