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 Terry initially have?

Answer 1

Terry's initial amount = £780

Explanation:

Given that:

Ratio of Terry's money to Faye's money = 3 : 5

Let,

x be the amount of money.

Terry's amount = 3x

Faye's amount = 5x

Now,

3x + 220 = 5x - 300

220+300 = 5x - 3x

520 = 2x

2x = 520

Dividing both sides by 2

`(2x)/(2)=(520)/(2)\\x=260`

Terry's initial amount = 3x = 3(260) = £780

Hence,

Terry's initial amount = £780