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?

btw it is not 1250

Answer 1

Answer:

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.☑️