try this..

[super_man]

1. part of $10,000 inheritance was invested at 4 percent and the remainder was invested at 6 percent. The total simple annual interest earned on $10,000 at the end of one year was $520.

Col A
The amount invested at 4 percent

Col B
The amount invested at 6 percent

2. Jewels in a crown consists of diamonds, rubies and emeralds. If the ratio of diamonds to rubies is 5/6 and the ratio of rubies to emerald is 8/3, what is the least number of jewels that could be in the tiara?

16
22
40
53
67

3. Seven one dollar bills are to be distributed among lucia, gomez and domingo so that each person receives at least $1

col A
The number of ways to distribute the bills so that at least one person receives at least $3

col B
The toal number of ways to distribute the bills

Please provide your solutions and most importantly the explanations...

[karthikguru]

1) A: 4000 rs invested
B: 6000 rs invested

2.)53

D:R:E=20:24:9

3. b is greater ... without calculation we can tell tat always total no of outcome will be greater ..


are my answers correct ????

[super_man]

The OA for the first two is same as your choice. I'm not sure abt the OA for 3.

Can you explain 1 and 3??

[traum]

3. Seven one dollar bills are to be distributed among lucia, gomez and domingo so that each person receives at least $1

col A
The number of ways to distribute the bills so that at least one person receives at least $3

col B
The toal number of ways to distribute the bills

Col A - 5C2 = 5x4/2
Col B - 7C3 = 7x6x5/3

[breathingmylife]

Originally Posted by super_man

The OA for the first two is same as your choice. I'm not sure abt the OA for 3.

Can you explain 1 and 3??

No 1. : In my opinion, the easiest way to do this:

Imagine if you had invested all the $10,000 in 4% - you would get $400
If you had invested all of it in the 6% option - you would get $600.

Since the return was $520, obviously more is invested in the 6% option - if equal amounts were invested, you would have a return of $500.

Otherwise, of course you can work it out as 'let x be the amount invested in the 4% option' and solve for x :
4% on x + 6% on (10,000-x) = 520

[breathingmylife]

Originally Posted by karthikguru

1) A: 4000 rs invested
B: 6000 rs invested

2.)53

D:R:E=20:24:9

3. b is greater ... without calculation we can tell tat always total no of outcome will be greater ..


are my answers correct ????

No 3.'s answer here is wrong. The correct one is C.

No matter how the $7 is distributed among the 3, with each getting atleast 1$ each, someone has to get $3.

Explanation: let each first get one, so we have $1 with every person, and then we have $4 left in the kitty to divide.

If we give all $4 to one person, the distribution will be 5,1,1 (or 1,1,5...or 1,5,1, but this is irrelevant to our question as we will see)

If we give $3 to one person and #1 to one, the distribution will be 4,2,1

If we give $2 to two, and $1 to one, the distribution will be 3,3,1.

If we give $1 each to two, and the remaining $2 to one, the distribution will be 2,2,3

There is not other way to divide the money...so whatever the distribution, someone will end up with atleast 3.

[karthikguru]

ya i got a bit complacent on seeing t question ... looked too easy .... hmmm damn ETS so what's t exact answer for A ??? .... i think for B it is 35 ....

[totymody]

Can you por favor, El Señor explain por favor, El Señor Q2 & Q3 ?!!