Posted by Michelle on .
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,
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,
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 = 11/3 1/41/4 x72,000
A = 1/6 x 72 = 432,000 
Algebra 
Steve,
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)