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?

£1300

Step-by-step 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

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.