Question

The ratio of money in Terry's bank account to Faye's bank account was 3:7.
Terry then put £220 in his account and Faye withdrew £300 from her account.
They now had the same amount in their accounts.
How much did they initially have altogether?

Answer 1

They initially had £1250 altogether.

Explanation:

Given : The ratio of money in Terry's bank account to Faye's bank account was 3:7.

Let the money in terry's bank account be 3x and the money in Faye's account be 7x.

if Terry put £220 in his account and Faye withdrew £300 from her account.

Money in Terry's account = 3x+200

Money in  Faye's account  = 7x -300

They now had the same amount in their accounts.

$\Rightarrow\   7x -300=3x+200$

$\Rightarrow\ 7x-3x=200+300$

$4x=500$

$x=\dfrac{500}{4}=125$

Now Initially ,

Amount in Terry's account = 3x= 3(125) = £ 375

Amount in Faye's account  = 7x =7 (125)= £ 875

Combined amount = £ 375 +  £ 875 = £1250

Hence, they initially had £1250 altogether.

# Learn more :

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