Question

aljebra questions anum counted the money she had in her purse and money box . When she doubbled the amount in her purse and add it to the amount in money box she gets rs 1700 . When she triples the amount in her purse and add in to money box she gets rs 2200. How much money does she have in her purse

Answer 1

Money in her purse is Rs. 500.

Explanation:

Let the money in her purse = Rs.
`x\\`

Let the money in her Money box = Rs.
`y`

As per question statement,

• Double the money in her purse (i.e.
  `2 * x`) and add it to the amount in money box, she gets Rs. 1700.

`2x+y=1700` ........ (1)

• Triple the money in her purse (i.e.
  `3* x`) and add it to amount in money box (
  `y`), she gets Rs. 2200.

`3x+y=2200` ....... (2)

To find: Money in her purse = ? i.e.
`x=?`

Let us solve for
`x` using the two linear equations.

We can use substitution method here i.e. find value of one variable from one equation and then substitute that value in other equation.

Using equation (1), we get the value of
`y` as follows:

`y=1700-2x`

Now, let us put this value of y in equation (2) to find the value of
`x`:

`3x+1700-2x=2200\\\Rightarrow x+1700 = 2200\\\Rightarrow x=2200-1700\\\Rightarrow x = Rs.\ 500`

Money in her purse is Rs. 500.