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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 he
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 Terry initially have?
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Mathematics
3 years
2021-08-26T08:03:52+00:00
2021-08-26T08:03:52+00:00 1 Answers
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Answers ( )
Answer:
Terry initially had £390
Step-by-step explanation:
The ratio of the original amount is 3:7
Let the original amount Terry has be t and the original amount Faye has be f
3/7 = t/f
or simply 3f = 7t ••••••(i)
Terry putting 220 means he now has
t + 220
Faye withdrew 300
He now has f-300
These values are equal
t + 220 = f-300
f = t+220+300
f = t + 520 ••••••(ii)
Put ii into i
3(t + 520) = 7t
3t + 1560 = 7t
7t-3t = 1560
4t = 1560
t = 1560/4
t = 390