Birr 6,500 Were Divided Equally Among Acertain Number Of Of Persons. Had There Been 15 More Persons, Each Would Have Got Birr 30 Less.Find The Orginal Number Of Persons.
This is just like the cloth problem. If there are m people and each one received n, then
mn = 6500
(m+15)(n-30) = 6500
Now just solve for m and n.
Why Do You Capitalize Every Word? It Is Rather Distracting.
BUT NOT QUITE AS MUCH AS ALL CAPS, EH?
12
because these sentence is in a quotation mark
Getachew is my father & my respons to solve my work sheeet
Mesi
Getachew yes
To solve this problem, we can use algebraic equations. Let's call the original number of persons "x."
According to the given information, Birr 6,500 was divided equally among these x persons. Therefore, each person received 6500/x birr.
The problem states that if there were 15 more persons, each person would have received 30 birrs less. So, the new number of persons would be (x + 15), and each person would receive (6500/x - 30) birrs.
Now, we can create an equation based on this information:
Original amount per person - New amount per person = 30 birrs
Therefore, the equation becomes: 6500/x - 6500/(x+15) = 30
Now, let's solve this equation to find the original number of persons "x."
Multiply both sides of the equation by x and (x + 15) to eliminate the denominators:
6500(x + 15) - 6500x = 30x(x + 15)
Simplify the equation:
6500x + 97500 - 6500x = 30x^2 + 450x
Combine like terms and move all terms to one side:
30x^2 + 450x - 97500 = 0
We have a quadratic equation. Let's solve it by factoring or using the quadratic formula.
By factoring, we find:
30x^2 + 450x - 97500 = 0
Divide the equation by 30 to simplify:
x^2 + 15x - 3250 = 0
Now, factor the equation:
(x - 50)(x + 65) = 0
This gives us two possible solutions: x = 50 or x = -65.
Since the number of persons cannot be negative, the original number of persons must be x = 50.
Therefore, the original number of persons is 50.