Question

The ratio of money in Terry's bank account to Faye's bank account was 3:5.

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

£780 and £1300

Explanation:

The ratio in their accounts is 3 : 5 = 3x : 5x ( x is a multiplier )

Terry put £220 into his account, then 3x + 220

Faye withdrew £300 from her account then 5x - 300

They now have the same amounts in their accounts, thus

5x - 300 = 3x + 220 ( subtract 3x from both sides )

2x - 300 = 220 ( add 300 to both sides )

2x = 520 ( divide both sides by 2 )

x = 260

Thus initial amount in their accounts

3 × £260 = £780 ← Terry's account

5 × £260 = £1300 ← Faye's account