Math, asked by jithuchinna1314, 1 month ago

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

Answered by veerapushkar
0

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.

Answered by tripathiakshita48
0

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.

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