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 Faye initially have?

Answer 1

Answer:

£910

Step-by-step explanation:

let 3x and 7x be the initial amounts in their accounts, then after alterations

Terry has 3x + 220

Faye has 7x - 300

After these changes the amounts are equal, hence

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

Faye initially had 7 × £130 = £910 in her account