They now had the same amount in their accounts.
How much did they initially have altogether?
Answer:
£780 and £1300
Step-by-step 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
4/9÷8/15
2x/3 - 9 = 7
2x/3 = 16
2x = 48
x = 24