question on percentage distribution: distributing $10 between 3 people A, B, and C

S

signupsacct

New member
Joined
Jul 5, 2018
Messages
4
If I have $10.00 and I want to distribute it between 3 people A, B, and C.
B and C should have 30 percent more than person A and everything equal $10.00

or if I have 3 people and I want the distribution to be between A, B, and C.
A should have 30 percent more than B and C and everything equal $10.00

How would I do that?

thanks
 
Not a student. Im trying to create a spreadsheet that calculates bonus percentages more for crew leaders then crew members based on a bonus allocation. Jobs will have different amouints of crew leaders and different amounts of crew members. Crew leaders will always get 30 percent more than crew members. but the ratios of crew leaders and crew members can change. for example, any combination of 1 to 4 crew leaders and 1 to 10 crew members
 
Edit: I had posted this algebraic approach, before reading that signupsacct is not a student. At that time, I was unable to reply further, due to forum software failures. I will leave this post here, for future students to see.


signupsacct said:
If I have $10.00 and I want to distribute it between 3 people A, B, and C.
Click to expand...
signupsacct said:
B and C should have 30 percent more than person A and everything equal $10.00
Click to expand...
Let symbols A, B, and C each represent the respective amount of money to be distributed.
​

One approach for the question quoted above is to first express amounts B and C in terms of A.

Can you write a simplified expression (using symbol A) that represents A increased by 30%? (That expression is a formula for both B and C because those two people each get the same amount.)

You could then write the following equation (using your expression for A increased by 30%):

A + [A increased by 30%] + [A increased by 30%] = 10

Solve this equation for A, and then substitute the solution into the formula you wrote for B and C.

If you're not sure how to express amount A increased by 30%, let us know. Otherwise, please show how for you got, if you need more help. Cheers ​
:cool:
 
Last edited:
signupsacct said:
Not a student. Im trying to create a spreadsheet that calculates bonus percentages more for crew leaders then crew members based on a bonus allocation. Jobs will have different amouints of crew leaders and different amounts of crew members. Crew leaders will always get 30 percent more than crew members. but the ratios of crew leaders and crew members can change. for example, any combination of 1 to 4 crew leaders and 1 to 10 crew members
Click to expand...

Fishermen have been doing this for generations. You can get as complicated as you like.

We made $15,437.51 selling our last load of fish, after expenses:
Captain: Double Share (2.00)
1st Mate: 1½ Share (1.50)
3 Experienced Sailors: 1 Share each (3.00)
Apprentice: ¾ Share (0.75)
Lubber: ½ Share (0.50)

Add up all the shares: 2.00 + 1.50 + 3.00 + 0.75 + 0.50 = 7.75

1 Share = $15,437.51 / 7.75 = $1,991.94

Now, go ashore and have a good time, but get some sleep! We cast off at oh-four-hundred!
 
tkhunny said:
Fishermen have been doing this for generations. You can get as complicated as you like.

We made $15,437.51 selling our last load of fish, after expenses:
Captain: Double Share (2.00)
1st Mate: 1½ Share (1.50)
3 Experienced Sailors: 1 Share each (3.00)
Apprentice: ¾ Share (0.75)
Lubber: ½ Share (0.50)

Add up all the shares: 2.00 + 1.50 + 3.00 + 0.75 + 0.50 = 7.75

1 Share = $15,437.51 / 7.75 = $1,991.94

Now, go ashore and have a good time, but get some sleep! We cast off at oh-four-hundred!
Click to expand...


If I have only 3 fishermen participating, how do I make the Captain and First mate get 30 percent more than a sailor if the distribution is 15,437.51 dollars?
 
signupsacct said:
If I have only 3 fishermen participating, how do I make the Captain and First mate get 30 percent more than a sailor if the distribution is 15,437.51 dollars?
Click to expand...
Did you not read post#3?

S = sailor's share
S + 1.3S + 1.3S = 15437.51
 
signupsacct said:
If I have only 3 fishermen participating, how do I make the Captain and First mate get 30 percent more than a sailor if the distribution is 15,437.51 dollars?
Click to expand...
Use tkhunny's method; total the shares, and then divide 15437.51 by the total. That gives you the value for 1 share.

Increasing 1 share by 30% yields 1.30 shares.

Sailor's share: 1

Captain's share: 1.30

First Mate's share: 1.30

1.00 + 1.30 + 1.30 = 3.60

15437.51 / 3.60 = 4288.19 (rounded down)

Therefore, 1 share is worth $4,288.19

30% more than 1 share is 1.30 times $4,288.19

1.30 ⋅ 4288.19 = 5574.66 (rounded up)

4288.19 + 5574.66 + 5574.66 = 15437.51

The captain and first mate each get $5,574.66 and the sailor gets $4,288.19​
:cool:

PS: I rounded up and down as shown, to adjust for an extra penny. Alternatively, I could have rounded properly and given the extra penny to the captain. As you work with different combinations of shares, you'll sometimes need to deal with being a penny over or a penny short on one or more persons' amount.
 
Last edited:
You must log in or register to reply here.
Top