Prana has a savings account and a chequing

account with a total balance of $85.

His parents doubled the amount in each

account and the new total balance is $170.

How much money does Prana have in each

account?

Respuesta :

Answer:

There is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.

Step-by-step explanation:

Let S represents Prana's savings account and C represents Prana's chequing account.

Prana has a savings account and a chequing  account with a total balance of $85.

Mathematically,

S + C = 85      eq. 1

His parents doubled the amount in each  account and the new total balance is $170.

Mathematically,

2(S + C) = 170

2S + 2C = 170      eq. 2

We have two equations and two unknowns.

S + C = 85

S = 85 - C

Substitute the above equation into eq. 2

2S + 2C = 170

2(85 - C) + 2C = 170

170 - 2C + 2C = 170

2C + 2C = 170 - 170

0 = 0

So what does it mean?

it means that there is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.