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

£1300

Explanation:

The ratio of their accounts = 3 : 7 = 3x : 7x ( x is a multiplier )

Terry puts £220 in his account, that is 3x + 220

Fay withdraws £300, that is 7x - 300

They now have the same amounts in their accounts, thus

7x - 300 = 3x + 220 ( subtract 3x from both sides )

4x - 300 = 220 ( add 300 to both sides )

4x = 520 ( divide both sides by 4 )

x = 130

Thus

Together they had 3x + 7x = 10x = 10 × 130 = £1300 altogether