Revisit Later $1300 was to be divided among a certain number of people. Had there been 3 more people each of them would receive $30 less. What was the onginal number of people?
Answers
Answer:
The onginal number of people is 10.
Step-by-step explanation:
let the number of people be x and money got by each among them be y. from question, x + 3 people got y - 30 dollars.
so, x × y = 1300 dollars and (x + 3)×(y - 30) = 1300 dollars.
so x.y = x.y - 30x + 3y -90 which gives that 3y - 30x = 90 which is equal to y - 10x = 30 ------> y = 30 + 10x.
x × y = 1300
x × ( 30 + 10x ) = 1300
30x + 10x^2 - 1300 = 0
x^2 + 3x - 130 = 0
x^2 + 13x - 10x - 130 = 0
x ( x + 13 ) - 10 ( x + 13 ) = 0
( x + 13 ) ( x - 10 ) = 0
either x = -13 or x = 10
as members can't be negative there are 10 members.
Answer:
The onginal number of people is 10.
Step-by-step explanation:
From the above question,
Revisit Later $1300 was to be divided among a certain number of people. Had there been 3 more people each of them would receive $30 less
Here,
We need to find the onginal number of people
Let the number of people be x and money got by each among them be y. from question, x + 3 people got y - 30 dollars.
So, x × y = 1300 dollars and (x + 3)×(y - 30) = 1300 dollars.
So x.y = x.y - 30x + 3y -90 which gives that 3y - 30x = 90
Which is equal to y - 10x = 30
y = 30 + 10x.
x × y = 1300
x × ( 30 + 10x ) = 1300
30x + 10x^2 - 1300 = 0
x^2 + 3x - 130 = 0
x^2 + 13x - 10x - 130 = 0
x ( x + 13 ) - 10 ( x + 13 ) = 0
( x + 13 ) ( x - 10 ) = 0
Either x = -13 or x = 10
As members can't be negative there are 10 members.
For more related question : https://brainly.in/question/16105503
#SPJ5