Posted by **Michelle** on Thursday, January 10, 2013 at 10:42am.

Mary, Margaret, Ron and Nick are to share a sholarship. Ron receives 1/3 of the scholarship; Nick gets 1/4 of the scholarship; Mary receives the same as Nick, and Margaret receives $72,000. Find each person's share in the scholarship as well as the original scholarship amount.

You must use a Let statement.

State the equation for the above situation

Solve Algebraicially

- Algebra -
**Steve**, Thursday, January 10, 2013 at 10:47am
1 - 1/3 - 1/4 - 1/4 = 1/6

so, 72000 is 1/6 of the total.

The total is thus 432,000

1/3 = 144,000

1/4 = 108,000

You can massage the answer to the required format.

- Algebra -
**Michelle**, Thursday, January 10, 2013 at 12:41pm
Thanks. I figuired out the working, but not sure how to use the Let statement. Would it be correct to say

Let A = original scholarship amount

A = 1-1/3 -1/4-1/4 x72,000

A = 1/6 x 72 = 432,000

- Algebra -
**Steve**, Thursday, January 10, 2013 at 1:55pm
Better would be

(1 - 1/3 - 1/4 - 1/4) A = 72000

1/6 A = 72000

A = 6*72000

or

A = 72000/(1 - 1/3 - 1/4 - 1/4)

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