Algebra
posted by Michelle .
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)
Respond to this Question
Similar Questions

loans????
what is the diffrence between student loan and a scholarship? 
Econ
At Nick's Bakery, the cost to make his homemade chocolate cake is $3 per cake. He sells three and receives a total of $21 worth of producer surplus. Nick must be selling his cakes for a. $2 each. b. $7 each. c. $8 each. d. $10 each. … 
5th Grade Math
Nick and Isaiah both run a mile. Nick runs in 8 minutes and Isaiah runs it in 10 minutes. How long would it take Nick to run pass Isaiah for a second time. I think the answer is 16 mintues. The LCM =40 
Math
nick has 1 3/4 gallon of milk how many pints does nick have. I think it is 14. 
4th grade
nick's diner advertise fresh squeezed orange juice every day of the year. he serves twentyfour 8ounce glasses of juice a day. nick knows it takes three 6ounce oranges to make one 8ounce glass of juice. nick orders oranges by cases … 
Finance
Suppose that a company decides to make an annual gift to fund undergraduate scholarships. The first of these gifts will be given today and it is anticipated that the gifts will continue forever. The nominal discount rate is 8% and … 
math (fractions)
Three people share a sum of money. The first receives 2/7 and the second receives a 2/5 share of the money. What fracion does the third receive? 
math
So far this year Nick has scored a 75, 81, 88 and 92 on four of his math tests. Each test is worth a maximum of 100 points. To earn a B this year, Nick needs a test average of 80 or better. Write the inequality that represents this … 
Maths
Nick is five years older than Ben. The sum of their ages is 33. How old is Nick? 
math
Three friends Nick, Rachel and Ahmed have a lemonade stand. They decide to share the profits the following way. Nick gets 2/3 of the total profits. Rachel will get 1/4 of the total profits. Explain why Ahmed will get 1/12 of the total …